justify each step used to simplify the expression 3x+2y-2x+2=3x-2x+2y+2

[latex]3x+2y-2x+2=3x-2x+2y+2\ \ \ \ \ | combine\ like\ terms\\\\ x+2y+2=x+2y+2\\\\ 0=0\\\\ There\ are\ infinitely\ many\ solutions.[/latex]