2/3x = -5/2y + 2
2/3x + 5/2y = 2 (when one unknown goes over to the other side, it changes its sign - 5/2y was negative, but when it went to the left, it became positive)
now, you can multiply both sides by 6 (because it is GCF for denominators 3 and 2) to get rid of fractions
6*2/3x + 6*5/2y = 6*2
4x + 15y = 12
So the correct answer is A. 4x + 15y = 12