Determine the value of y: $\begin{array}{r}-3 x+8 y=11 \\ -3 x-5 y=-41\end{array}$

Step 1 ：This is a system of linear equations. We can solve it by substitution or elimination. Since the coefficient of x is the same in both equations, we can use the elimination method.

Step 2 ：We will add the two equations to eliminate x and solve for y.

Step 3 ：Adding the two equations gives us: \(3y = -30\)

Step 4 ：Solving for y, we get: \(y = -30 / 3 = -10\)

Step 5 ：Final Answer: The value of y is \(\boxed{-10}\)