Answer
The solution is 15
Work Step by Step
$\frac{y}{7}$ -2 =$\frac{1}{7}$ Add 2 to both sides
$\frac{y}{7}$ -2+2=$\frac{1}{7}$ +2
$\frac{y}{7}$ =$\frac{1}{7}$ +$\frac{14}{7}$
$\frac{y}{7}$ =$\frac{1 +14}{7}$
$\frac{y}{7}$ =$\frac{15}{7}$ Multiply by 7 both sides
7$\times$$\frac{y}{7}$ =7$\times$$\frac{15}{7}$
y=15
The solution is 15
Check
Replace y with 15
$\frac{y}{7}$ -2 =$\frac{1}{7}$ Add 2 to both sides
$\frac{15}{7}$ -2 =$\frac{1}{7}$
$\frac{15}{7}$ - $\frac{14}{7}$ = $\frac{1}{7}$ LCD to 7 and 1 is 7
$\frac{1}{7}$ =$\frac{1}{7}$