He was pierced for our transgressions,
    he was crushed for our iniquities;
the punishment that brought us peace was on him,
    and by his wounds we are healed.
–Isaiah 53:5 (NIV)–

“He himself bore our sins” in his body on the cross, so that we might die to sins and live for righteousness; “by his wounds you have been healed.”
–1 Peter 2:24 (NIV)–

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Catholic Answers, “What Do Catholics Believe About Salvation?”