4
6Y=4/(3-x) => 6y = ----------
3 - x
Step 1: Mult. both sides by (3-x). Result: 6y(3-x) = 4
Step 2: Isolve (3-x) on the left side. To do this, div. both sides by 6y:
4
(3-x) = ----
6y
4
Step 3: Subtract 3 from both sides: -x = ------ - 3
6y
Step 4: Mult. both sides by x, and then reduce the fraction 4/6:
2
x = - ------ + 3 This is correct as is. You could also write it as
3y
2 9y 2 + 9y
x = - ------ + ------- = - -------------
3y 3y 3y