Algebra 1: Common Core (15th Edition)

$6=2y-x$
In order to write the equation in standard form, we must get y and x on the same side of the equation: $y -1/2x=3$ x, however, is being multiplied by 1/2. Because we want this equation to be in standard form using integers, we multiply both sides of the equation by 2 to obtain: $6=2y-x$