Will a man be punished in relation to his wife for what he did with other men's wives? And is there an expiation for that? And how can he get rid of the feeling of guilt?

Praise Allah for your remorse and your eagerness to repent and distance yourself from the woman with whom you sinned. Sincere repentance is hoped to be a cause for forgiveness and success in this world and the Hereafter, as Allah Almighty said: "And turn to Allah all of you, O believers, that you may succeed." You must be sincere in your repentance, distance yourself from sins, seek forgiveness from the woman's husband without disclosing what happened, hasten to marry to fortify yourself, and be careful not to accuse your wife of obsessions and jealousy without proof.