#### Answer

y = 7

#### Work Step by Step

$\frac{5y}{y+1}$-$\frac{3}{y+1}$=4
(y+1)$\frac{5y}{y+1}$-(y+1)$\frac{3}{y+1}$=4(y+1)
5y-3=4y+4
5y-4y=4+3
y=7
Check the solution 7
$\frac{5y}{y+1}$-$\frac{3}{y+1}$=4
$\frac{5*7}{7+1}$-$\frac{3}{7+1}$=4
$\frac{35}{8}$-$\frac{3}{8}$=4
$\frac{32}{8}$=4
4=4