I cheated on my husband am i forgivable?

We lacked trust and i cheated, i regret it from the most profound dept of my soul. I ****** up i know we have been married 2 years and he was gone on deployment. I was working graveyard shift and going to school i was so tired and lonely all i wanted was someone to feel loved yes that is entirely stupid but the devil got a hold of me and i couldnt fight back- I would do anything to make him happy even if that means leaving and him not hearing from me again, i want the best for him and i know i can make him happy but since i confessed my adultery to him two days ago we have been trying to make things work but he is thinking, - i held that secret 6 months and it killed me inside, i really do love him but i understand that this is unforgivable