Answer
Yes, it is a solution.
Work Step by Step
$\frac{2}{3}y=\frac{6}{11}$
$\frac{2}{3}(\frac{9}{11})\overset?=\frac{6}{11}$
$\frac{18}{33}\overset?=\frac{6}{11}$
$\frac{18\div3}{33\div3}\overset?=\frac{6}{11}$
$\frac{6}{11}\overset?=\frac{6}{11}\checkmark$
