[Furface]

This question can only really be answered by someone standing with you and watching while you shoot but...
Assuming you are shooting indoors, and at about 20yards, the amount that you are "out" and the (actually quite large) variation in direction suggests that it is not a tuning issue but a form issue. I would have checked your eye use first, as others have suggested: can you actually close your left eye so that you can only use your right eye (some can't); are you perhaps opening your left eye for some shots. Then check your stance and alignment: are your shoulders in line with the target; are you twisting your body to get into line? If that is the case, you could be "untwisting" on release, with your bow hand inadvertently moving the bow right before the arrow has left the rest. Is your reference point consistent: any variation here can be translated into horizontal variation at the target. Also, look at your grip on the bow: are you holding it in line, or is your wrist out to the side? Does your wrist remain in line after release, or is it "cocking", and twisting your bow to the right? Is your bow upright: if you lean it to one side, that will affect the arrow's path. Finally, do you look to see where your arrow has landed before you hear it hit the target? All the last few questions really relate to moving your bow before the arrow has really left it.
In fact, I would guess at a combination of many, if not all, of these! Welcome to archery.