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solve the equation -3(y - 5) = 24

Question

solve the equation
-3(y - 5) = 24

Explanation:

Step1: Divide both sides by -3

To isolate the term \((y - 5)\), we divide both sides of the equation \(-3(y - 5)=24\) by \(-3\).

$$ \frac{-3(y - 5)}{-3}=\frac{24}{-3} $$

Simplifying both sides, we get:

$$ y - 5=-8 $$

Step2: Add 5 to both sides

To solve for \(y\), we add 5 to both sides of the equation \(y - 5=-8\).

$$ y - 5 + 5=-8 + 5 $$

Simplifying both sides, we find:

$$ y=-3 $$

Answer:

\(y = -3\)