# Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set: 22

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

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