Being left-handed, I always draw on the right side of the brain.

One thing I always notice with folks either learning to draw, or who do not frequently draw, they tend to apply a lot of pressure in all of their strokes. I tend to sketch very lightly, then go over darker and darker as needed. One thing that allows for is ease in changing as you go. I'm very non-committal when it comes to drawing.

In its simplest definition, drawing/art is communication. Figuring out what you're trying to communicate may help you in arriving at your goal in your illustration.