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Simplifying -3y + -9(6y + -9) = 2 + -8(6 + -1y) Reorder the terms: -3y + -9(-9 + 6y) = 2 + -8(6 + -1y) -3y + (-9 * -9 + 6y * -9) = 2 + -8(6 + -1y) -3y + (81 + -54y) = 2 + -8(6 + -1y) Reorder the terms: 81 + -3y + -54y = 2 + -8(6 + -1y) Combine like terms: -3y + -54y = -57y 81 + -57y = 2 + -8(6 + -1y) 81 + -57y = 2 + (6 * -8 + -1y * -8) 81 + -57y = 2 + (-48 + 8y) Combine like terms: 2 + -48 = -46 81 + -57y = -46 + 8y Solving 81 + -57y = -46 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 81 + -57y + -8y = -46 + 8y + -8y Combine like terms: -57y + -8y = -65y 81 + -65y = -46 + 8y + -8y Combine like terms: 8y + -8y = 0 81 + -65y = -46 + 0 81 + -65y = -46 Add '-81' to each side of the equation. 81 + -81 + -65y = -46 + -81 Combine like terms: 81 + -81 = 0 0 + -65y = -46 + -81 -65y = -46 + -81 Combine like terms: -46 + -81 = -127 -65y = -127 Divide each side by '-65'. y = 1.953846154 Simplifying y = 1.953846154
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