As I see it, first you sewed the binding on with a 1/4 inch seam. Next you turned the binding to the other side. My next step would be to bring the (fold)edge just over the stitching from the other side.
If the edge you are working on just barely covers the stitching, the new stitching will cover the previous stitching and you will not have the extra line of stitching from side one.