Solve.

y-4 = 3/4y

y-4 = 3/4y

4y(y-4) = 3
4y^2 - 16y - 3 = 0
y = 2 ± √19/2

Now, if the problem was y-4 = (3/4)y you surely won't have any trouble arriving at the solution: y=16.