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Simplifying 4(y + -8) = 9 + 5y Reorder the terms: 4(-8 + y) = 9 + 5y (-8 * 4 + y * 4) = 9 + 5y (-32 + 4y) = 9 + 5y Solving -32 + 4y = 9 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -32 + 4y + -5y = 9 + 5y + -5y Combine like terms: 4y + -5y = -1y -32 + -1y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 -32 + -1y = 9 + 0 -32 + -1y = 9 Add '32' to each side of the equation. -32 + 32 + -1y = 9 + 32 Combine like terms: -32 + 32 = 0 0 + -1y = 9 + 32 -1y = 9 + 32 Combine like terms: 9 + 32 = 41 -1y = 41 Divide each side by '-1'. y = -41 Simplifying y = -41
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