I know that I should know how to do this but my brain is blocked.Solving for y.?

Question

Solve for y

x=(y+3)/(y-2)

Answer 1

x = (y + 3) / (y - 2) . .multiply both sides by (y - 2)

x (y - 2) = y + 3

xy - 2x = y + 3 . .add -y and 2x to both sides

xy - y = 2x + 3

y (x - 1) = 2x + 3  . .divide both sides by x - 1

y = (2x + 3) / (x - 1)

Answer 2

x=(y+3)/(y-2)

x(y-2)=y+3

xy-2x=y+3

xy-y=2x+3

y(x-1)=2x+3

y=(2x+3)/(x-1)

Answer 3

x = (y+3)/(y-2)

therefore

x(y-2) = y+3

xy - 2x = y+3

xy - y = 3 + 2x

y(x-1) = 3+2x

y = (3+2x)/(x-1)