'Transgressions' in the Bible

Nor is the gift [of grace] like that which came through the one who sinned. For on the one hand the judgment [following the sin] resulted from one trespass and brought condemnation, but on the other hand the free gift resulted from many trespasses and brought justification [the release from sin’s penalty for those who believe].

Why, then, the Law [what was its purpose]? It was added [after the promise to Abraham, to reveal to people their guilt] because of transgressions [that is, to make people conscious of the sinfulness of sin], and [the Law] was ordained through angels and delivered to Israel by the hand of a mediator [Moses, the mediator between God and Israel, to be in effect] until the Seed would come to whom the promise had been made.

When you were dead in your sins and in the uncircumcision of your flesh (worldliness, manner of life), God made you alive together with Christ, having [freely] forgiven us all our sins,

For this reason He is the Mediator and Negotiator of a new covenant [that is, an entirely new agreement uniting God and man], so that those who have been called [by God] may receive [the fulfillment of] the promised eternal inheritance, since a death has taken place [as the payment] which redeems them from the sins committed under the obsolete first covenant.

for her sins (crimes, transgressions) have piled up as high as heaven, and God has remembered her wickedness and crimes [for judgment].