Solve for $y$ in terms of $x$. \[ \log _{5} y=\log _{5} x-\log _{5} 11+\log _{5} 8 \] \[ y=\square \] (Simplify your answer.)

Step 1 ：Simplify the right side of the equation using the properties of logarithms. We know that \( \log_b a - \log_b c = \log_b \frac{a}{c} \) and \( \log_b a + \log_b c = \log_b ac \). So, we can rewrite the right side of the equation as \( \log_5 \frac{x*8}{11} \).

Step 2 ：Remove the logarithm by raising both sides of the equation to the base of the logarithm, which is 5 in this case. This will give us the value of \( y \) in terms of \( x \).

Step 3 ：The final answer is \( y=\boxed{\frac{8x}{11}} \)