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Simplifying -3(y + -5) + -5(y + -4) = 59 Reorder the terms: -3(-5 + y) + -5(y + -4) = 59 (-5 * -3 + y * -3) + -5(y + -4) = 59 (15 + -3y) + -5(y + -4) = 59 Reorder the terms: 15 + -3y + -5(-4 + y) = 59 15 + -3y + (-4 * -5 + y * -5) = 59 15 + -3y + (20 + -5y) = 59 Reorder the terms: 15 + 20 + -3y + -5y = 59 Combine like terms: 15 + 20 = 35 35 + -3y + -5y = 59 Combine like terms: -3y + -5y = -8y 35 + -8y = 59 Solving 35 + -8y = 59 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -8y = 59 + -35 Combine like terms: 35 + -35 = 0 0 + -8y = 59 + -35 -8y = 59 + -35 Combine like terms: 59 + -35 = 24 -8y = 24 Divide each side by '-8'. y = -3 Simplifying y = -3
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