Make y the subject of the formula. x=(6+2y)/(3-y)

To make y the subject of the formula you have to rearrange it so that it starts with 'y=' instead of 'x='. Starting with x = (6+2y)/(3-y), if we get rid of the fraction by multiplying both sides by (3-y), you end up with x(3-y) = 6+2y. When you expand the LHS of this, you get 3x-xy = 6+2y. Next, move anything containing y onto one side of the equation to give 2y+xy = 3x-6. When both sides of the equation are factorised you are left with (2+x) = 3(x-2). Finally, if you divide both sides by (2+x) the final simplified answer is y = 3(x-2)/(2+x) with y as the subject of the formula. Final answer: y = (3(x-2))/(2+x)