You say it seems like your left has more strength than your right even though you are right handed. Have you actually tested this to make sure? Sometimes we can perceive differences that are really very minor. You may just be trying harder with your left. Your right side may be tired from your work activities that could be creating this condition. Stay away from all BB movements for at least a month and do only DBs. If you have any imbalances this should help even things out.