Contrary to what everyone believes, there is no "correct" way to shoot a Basketball. This goes for left handed and right handed people. Whatever way works for you is the correct way.
First, put your left foot slightly forward (ahead of your right) and make sure your feet are shoulder width apart. Then have your shooting hand (in your case your left) behind the ball [in front of your face] and your right hand on the side, almost making a T shape. Then bend your legs and follow through. USE YOUR LEGS NO JUST YOUR ARMS!!!
The same way you shoot a right handed basketball...
going right and left with basketball and then shoot in basket
It means you are ambidextrous which is where you use both of your hands equally well. Including me, I write with my right hand and throw a football and shoot a basketball with my left.
You shoot with your left hand. When your on the right side you shoot with your right hand, this way you have a better chance at getting then ball in and getting fouled. The trick that always worked for me is that when your going up for a layup on the left side pretend there is a string connected to your left hand and left knee.
I am too and I'm trying to find out the answer!
I would say to just practice. I would look at how you shoot with your right hand and compare this to how you are shooting with your left hand. (I do play basketball, but I don't know any drills).
Back hand down the tram line
There is a chance that you are originally left handed but your parents or whoever taught you how to write showed you with your right hand so you learn how to write with that hand but feel more comfortable doing basketball with you left hand.