\(y-6=2(x-4)\ \ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\y-6=2(x)+2(-4)\\\\y-6=2x-8\ \ \ \ |add\ 6\ to\ both\ sides\\\\y=2x-2\ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\-2x+y=-2\ \ \ \ |change\ a\ signs-multiply\ both\ sides\ by\ (-1)\\\\\boxed{2x-y=2}\)
