Does the blood of animal sacrifices take away sin? Bible Contradictions

This Bible contradiction is from the Skeptic's Annotated Bible.

Verses

Yes

Leviticus 4:20 View context

And he shall do with the bullock as he did with the bullock for a sin offering, so shall he do with this: and the priest shall make an atonement for them, and it shall be forgiven them.

Leviticus 5:10 View context

And he shall offer the second [for] a burnt offering, according to the manner: and the priest shall make an atonement for him for his sin which he hath sinned, and it shall be forgiven him.

Leviticus 6:7 View context

And the priest shall make an atonement for him before the LORD: and it shall be forgiven him for any thing of all that he hath done in trespassing therein.

Leviticus 17:11 View context

For the life of the flesh [is] in the blood: and I have given it to you upon the altar to make an atonement for your souls: for it [is] the blood [that] maketh an atonement for the soul.

Numbers 15:27-28 View context

And if any soul sin through ignorance, then he shall bring a she goat of the first year for a sin offering.

And the priest shall make an atonement for the soul that sinneth ignorantly, when he sinneth by ignorance before the LORD, to make an atonement for him; and it shall be forgiven him.