Problem

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

Answer

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Answer

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

Steps

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 \(\boxed{-10}\)

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