Answer
y = 5
Work Step by Step
$\frac{4y}{y-4}$+5=$\frac{5y}{y-4}$
(y-4)$\frac{4y}{y-4}$+5(y-4)=$\frac{5y}{y-4}$(y-4)
4y+5y-20=5y
9y-20=5y
9y-5y=20
4y=20
y=5
Check the solution 5
$\frac{4y}{y-4}$+5=$\frac{5y}{y-4}$
$\frac{4*5}{5-4}$+5=$\frac{5*5}{5-4}$
$\frac{20}{1}$+5=$\frac{25}{1}$
20+5=25
25=25