Lets consider a few verses:
1) Isaiah 53:5 But He was pierced through for our transgressions,
He was crushed for our iniquities; The chastening for our well-being fell upon Him, And by His scourging we are healed.
2) 2 Corinthians 5:14-15 "For the love of Christ controls us, having concluded this, that
one died for all, therefore all died; 15 and He died for all, so that they who live might no longer live for themselves, but for Him who died and rose again on their behalf.
3) 2 Corinthians 5:21 “For He hath made Him to be a sin offering for us, who knew no sin: that we might be made the righteousness of God in Him.”
4) 1 Peter 2:24 “And He Himself bore our sins in His body on the cross, so that we might die to sin and live to righteousness; for by His wounds you were healed.”
5) Romans 5:6 For when we were yet without strength, in due time
Christ died for the ungodly.
6) Romans 5:8 "But God demonstrates His own love toward us, in that while we were yet sinners, Christ died for us.
7) 1 Corinthians 15:3 For I delivered unto you first of all that which I also received, how that Christ died for our sins according to the scriptures.
8) 1 Corinthians 8:11 And through thy knowledge shall the weak brother perish, for whom Christ died?
9) Romans 14:15 "For if because of food your brother is hurt, you are no longer walking according to love. Do not destroy with your food him for whom Christ died."
So the concept of substitutionary reconciliation, Christ providing infinite satisfaction as God's Lamb, the concept of God's sin offering for mankind is solid as the Rock upon which it stands.
Look carefully at those verses where specific individuals of the audience are in view. There are born again brethren, thus the model of Christ dying for all mankind to provide the propitiation or means of salvation and the individual receiving that reconciliation through faith when Christ puts them individually in Christ.
Behold Biblical Substitutionary Atonement