B'resheet 50:1-3 Then Yosef fell on his father's face, and wept over him and kissed him. And Yosef commanded his servants the physicians to embalm his father. So the physicians embalmed Israel. Now forty days were required for it, for such is the period required for embalming. And the Egyptians wept for him seventy days.
It looks like the Egyptian physicians mummified Israel. They also wept for him. Yosef had the physicians do the embalming rather than the Egyptian priests. This was probably so that no religious ritual would have been incorporated into the process. This would have been some transformation.
The corresponding letter to this chapter is Vav -Completion, Redemption and transformation.
B'resheet 50:4-14 And when the days of mourning for him were past, Yosef spoke to the household of Pharaoh, saying, "If now I have found favor in your sight, please speak to Pharaoh, saying, 'My father made me swear, saying, "Look, I am about to die; in my grave which I dug for myself in the land of Canaan, there you shall bury me." Now therefore, please let me go up and bury my father; then I will return.' " And Pharaoh said, "Go up and bury your father, as he made you swear." So Yosef went up to bury his father, and with him went up all the servants of Pharaoh, the elders of his household and all the elders of the land of Egypt, and all the household of Yosef and his brothers and his father's household; they left only their little ones and their flocks and their herds in the land of Goshen. There also went up with him both chariots and horsemen; and it was a very great company. When they came to the threshing floor of Atad, which is beyond the Jordan, they lamented there with a very great and sorrowful lamentation; and he observed seven days mourning for his father. Now when the inhabitants of the land, the Canaanites, saw the mourning at the threshing floor of Atad, they said, "This is a grievous mourning for the Egyptians." Therefore it was named Abel-mizraim, which is beyond the Jordan. And thus his sons did for him as he had charged them; for his sons carried him to the land of Canaan, and buried him in the cave of the field of Machpelah before Mamre, which Abraham had bought along with the field for a burial site from Ephron the Hittite. And after he had buried his father, Yosef returned to Egypt, he and his brothers, and all who had gone up with him to bury his father.
This was a great company of people. Not only did the family, now a tribe, travel, many Egyptians also traveled to the Promised Land to mourn the death of this great man and father of a nation.
He observed seven days mourning - This is the Jewish tradition of "Shiva" from the Hebrew word for seven. The Jewish people still observe seven days of mourning.
B'resheet 50:15-17 When Yosef's brothers saw that their father was dead, they said, "What if Yosef should bear a grudge against us and pay us back in full for all the wrong which we did to him!" So they sent a message to Yosef, saying, "Your father charged before he died, saying, 'Thus you shall say to Yosef, "Please forgive, I beg you, the transgression of your brothers and their sin, for they did you wrong."' And now, please forgive the transgression of the servants of the G-d of your father. "And Yosef wept when they spoke to him.
Notice they say that their father is the one that does the asking for them. Notice it is given only after he is asked. Yosef's brothers use the death of their father as a way to forgiveness from Yosef. In this case, the Father through his death becomes the mediator for their sins. In contrast, Yeshua in His death is our mediator to the Father for our sins.
Heb 9:15-18 And for this reason He is the mediator of a new covenant, in order that since a death has taken place for the REDEMPTION of the transgressions that were committed under the first covenant, those who have been called may receive the promise of the eternal inheritance. For where a covenant is, there must of necessity be the death of the one who made it. For a covenant is valid only when men are dead, for it is never in force while the one who made it lives.
Back to Yosef and his brothers:
B'resheet 50:18-21 Then his brothers also came and fell down before him and said, "Look, we are your servants." But Yosef said to them, "Do not be afraid, for am I in G-d's place? "And as for you, you meant evil against me, but G-d meant it for good in order to bring about this present result, to preserve many people alive. So therefore, do not be afraid; I will provide for you and your little ones." So he comforted them and spoke kindly to them.
What happened to Yosef was meant for good and to preserve life. When Yeshua returns and Israel sees Him face to face, He will not hold the past or past rejection of him against his brothers at this future time. He too knew what happened to him was in order to bring good to mankind and for their completion and to preserve a people for his kingdom above. Later His kingdom will come to the earth.
Revelation 5:9-10 And they sang a new song, saying: "You are worthy to take the scroll, And to open its seals; For You were slain, And have redeemed us to G-d by Your blood Out of every tribe and tongue and people and nation, And have made us kings and priests to our G-d; And we shall reign on the earth."
B'resheet 50:22-26 Now Yosef stayed in Egypt, he and his father's household, and Yosef lived one hundred and ten years. And Yosef saw the third generation of Ephraim's sons; also the sons of Machir, the son of Manasseh, were born on Yosef's knees. And Yosef said to his brothers, "I am about to die, but G-d will surely take care of you, and bring you up from this land to the land which He promised on oath to Avraham, to Yitz'chak and to Ya'akov." Then Yosef made the sons of Israel swear, saying, "G-d will surely take care of you, and you shall carry my bones up from here." So Yosef died at the age of one hundred and ten years; and he was embalmed and placed in a coffin in Egypt.
Born on Yosef's knees - Brought up on Yosef's knees. This is just another way of saying that he was a doting grandfather.
You shall carry my bones up from here - When the Israelites left Egypt they kept this promise to Yosef/
Sh'mot (Exodus) 13:19 And Moshe (Moses) took the bones of Yosef (Joseph) with him, for he had made the sons of Israel solemnly swear, saying, "G-d shall surely take care of you; and you shall carry my bones from here with you."
He was embalmed - Yosef was also mummified. This is another transformation.