How does God justify sinners without compromising His justice?

The profound mystery of God's justification of sinners lies in His immutable justice and mercy. Romans 4:5 explicitly states that God justifies the ungodly, yet this does not compromise His holiness. It unfolds through the doctrine of imputation—our sins are imputed to Christ, who bore the penalty for us, while His righteousness is credited to our account. This divine strategy showcases God's wisdom, ensuring that His justice is satisfied and His grace is glorified in the salvation of His people.