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Simplifying -2y + 9(3y + -8) = -1 + -9(5 + -1y) Reorder the terms: -2y + 9(-8 + 3y) = -1 + -9(5 + -1y) -2y + (-8 * 9 + 3y * 9) = -1 + -9(5 + -1y) -2y + (-72 + 27y) = -1 + -9(5 + -1y) Reorder the terms: -72 + -2y + 27y = -1 + -9(5 + -1y) Combine like terms: -2y + 27y = 25y -72 + 25y = -1 + -9(5 + -1y) -72 + 25y = -1 + (5 * -9 + -1y * -9) -72 + 25y = -1 + (-45 + 9y) Combine like terms: -1 + -45 = -46 -72 + 25y = -46 + 9y Solving -72 + 25y = -46 + 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. -72 + 25y + -9y = -46 + 9y + -9y Combine like terms: 25y + -9y = 16y -72 + 16y = -46 + 9y + -9y Combine like terms: 9y + -9y = 0 -72 + 16y = -46 + 0 -72 + 16y = -46 Add '72' to each side of the equation. -72 + 72 + 16y = -46 + 72 Combine like terms: -72 + 72 = 0 0 + 16y = -46 + 72 16y = -46 + 72 Combine like terms: -46 + 72 = 26 16y = 26 Divide each side by '16'. y = 1.625 Simplifying y = 1.625
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