Trying to get through this.

Hello, ok so please please nothing rude! My boyfriend had admitted to me yesterday that in october he talked to an ex for a few days. He said that it was nothing sexual, they didnt meet up or do anything. We went through a lot in october we were fighting a lot and we have been together for 7 months. So we got together in June and started having some problems around September. He told me that he realized what he was doing was wrong and told her he cant and he is staying with me. He teared up about it and said "I'm really sorry baby but after attempting to talk to her I realized i dont want anyone else because you truly love me and our relationship is better than anyone I've been with, I know I've had my guard up but it made me realize how much I love and want to be with you". My cousin went through this with her now husband early on in their relationship and they got through it. We both want to get through this. He doesnt want to lose me and wants to work it out. I know it takes a lot of trust again but can two people get through this if they really want to? And he works with her, but in different departments so doesnt see her but makes 17 an hour is it right for me to want him to take a pay cut and leave?