How can Hebrews 10:4 be reconciled with the concept of sin offerings?

Hebrews 10:4 states that 'it is impossible for the blood of bulls and goats to take away sins'. However, the book of Leviticus introduced sin offerings for the purpose of atoning for sins (be they unintentional). How can these two statements be reconciled? I've read another thread on the same subject , but the answer provided simply seems to say that this problem is cleared up by the fact that the nature of the sin offering was a temporary removal of sin, while Jesus' sacrifice resulting in atonement was a *permanent* sacrifice. While this is of course true, Hebrews 10:4, in all translations I have seen, declares that the blood of animals cannot take away sin***s***, plural; this implies no sin whatsoever can be atoned by the sacrifice of animals.