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Simplifying -4(y + 8) = -9y + -7 Reorder the terms: -4(8 + y) = -9y + -7 (8 * -4 + y * -4) = -9y + -7 (-32 + -4y) = -9y + -7 Reorder the terms: -32 + -4y = -7 + -9y Solving -32 + -4y = -7 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -32 + -4y + 9y = -7 + -9y + 9y Combine like terms: -4y + 9y = 5y -32 + 5y = -7 + -9y + 9y Combine like terms: -9y + 9y = 0 -32 + 5y = -7 + 0 -32 + 5y = -7 Add '32' to each side of the equation. -32 + 32 + 5y = -7 + 32 Combine like terms: -32 + 32 = 0 0 + 5y = -7 + 32 5y = -7 + 32 Combine like terms: -7 + 32 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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