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Simplifying -3y + -9(-4y + -5) = 8 + -2(4 + -1y) Reorder the terms: -3y + -9(-5 + -4y) = 8 + -2(4 + -1y) -3y + (-5 * -9 + -4y * -9) = 8 + -2(4 + -1y) -3y + (45 + 36y) = 8 + -2(4 + -1y) Reorder the terms: 45 + -3y + 36y = 8 + -2(4 + -1y) Combine like terms: -3y + 36y = 33y 45 + 33y = 8 + -2(4 + -1y) 45 + 33y = 8 + (4 * -2 + -1y * -2) 45 + 33y = 8 + (-8 + 2y) Combine like terms: 8 + -8 = 0 45 + 33y = 0 + 2y 45 + 33y = 2y Solving 45 + 33y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 45 + 33y + -2y = 2y + -2y Combine like terms: 33y + -2y = 31y 45 + 31y = 2y + -2y Combine like terms: 2y + -2y = 0 45 + 31y = 0 Add '-45' to each side of the equation. 45 + -45 + 31y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 31y = 0 + -45 31y = 0 + -45 Combine like terms: 0 + -45 = -45 31y = -45 Divide each side by '31'. y = -1.451612903 Simplifying y = -1.451612903
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