“And he shall bathe his flesh in water in a holy place, and put on his garments, and come forth, and offer his whole burnt offering and the whole burnt offering of the people, and make atonement for himself and for the people.”
Then he must wash his flesh thoroughly in water in a holy place. The special holiness which he has carried with him must be removed before he can again have dealings with men. This would probably be done in a specially set off place in the court of the sanctuary made accessible directly from the Holy Place so that his nakedness could not be seen. Then he puts on his priestly garments. One more he is the representative of the people before Yahweh. After which he offers up the whole burnt offerings, both for himself and for the people. This seals their oneness with God. They are renewed as His covenant people, rededicated and in submission. Atonement is made both for himself and the people.