10 The priest shall then offer the other as a burnt offering in the prescribed way and make atonement for them for the sin they have committed, and they will be forgiven.

Read Leviticus 5:10 Using Other Translations

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.
Then he shall offer the second for a burnt offering according to the rule. And the priest shall make atonement for him for the sin that he has committed, and he shall be forgiven.
The priest will then prepare the second bird as a burnt offering, following all the procedures that have been prescribed. Through this process the priest will purify you from your sin, making you right with the LORD, and you will be forgiven.