If you have done a lot of shooting right handed then it's hard to switch to shooting left handed. However the best solution to left eye dominant is to learn to shoot left handed.....
If you're young....say in your teens or twenties....force yourself....you'll be glad you did years later.
If you are older.....put a patch over your left eye and force your brain to sight with the right eye.....
Shooting both eyes open does not help if you're right handed and left eye dominant!