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Simplifying 4(y + 8) = 5(y + -5) Reorder the terms: 4(8 + y) = 5(y + -5) (8 * 4 + y * 4) = 5(y + -5) (32 + 4y) = 5(y + -5) Reorder the terms: 32 + 4y = 5(-5 + y) 32 + 4y = (-5 * 5 + y * 5) 32 + 4y = (-25 + 5y) Solving 32 + 4y = -25 + 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 = -25 + 5y + -5y Combine like terms: 4y + -5y = -1y 32 + -1y = -25 + 5y + -5y Combine like terms: 5y + -5y = 0 32 + -1y = -25 + 0 32 + -1y = -25 Add '-32' to each side of the equation. 32 + -32 + -1y = -25 + -32 Combine like terms: 32 + -32 = 0 0 + -1y = -25 + -32 -1y = -25 + -32 Combine like terms: -25 + -32 = -57 -1y = -57 Divide each side by '-1'. y = 57 Simplifying y = 57
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