#### Answer

The solution is -$\frac{3}{7}$

#### Work Step by Step

$\frac{5}{7}$y = -$\frac{15}{49}$ LCD of 7 and 49 is 49.Multiply by 49both sides
49$\times$$\frac{5}{7}$y = 49$\times$-$\frac{15}{49}$
$\frac{49\times5y}{7}$=$\frac{49\times-15}{49}$
7$\times$5y=-15
35y=-15 Multiply by $\frac{1}{35}$ both sides
$\frac{1}{35}$$\times$35y=$\frac{1}{35}$$\times$-15
y=$\frac{5\times-3}{5\times7}$
y=$\frac{-3}{7}$
The solution is $\frac{-3}{7}$
Check
Replace y with $\frac{-3}{7}$
$\frac{5}{7}$y = -$\frac{15}{49}$
$\frac{5}{7}$$\times$ -$\frac{3}{7}$= -$\frac{15}{49}$
-$\frac{15}{49}$ = -$\frac{15}{49}$