Need you suggestion to take a vise decision?

He should not live with you and he should not go back to his wife. He betrayed both of you and doesn't deserve either of you. If he cheated on his wife he will cheat on you in a second. I'm sure he told his wife he loved her too and I'm sure if she'd take him back, he'd be with her right now. Don't be his last resort. You both need to start fresh. You've already seen what kind of person he is... a liar and a cheat. Is that really who you want to be with?