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Simplifying -6y + 9(-6y + -3) = 2 + 8(1 + -1y) Reorder the terms: -6y + 9(-3 + -6y) = 2 + 8(1 + -1y) -6y + (-3 * 9 + -6y * 9) = 2 + 8(1 + -1y) -6y + (-27 + -54y) = 2 + 8(1 + -1y) Reorder the terms: -27 + -6y + -54y = 2 + 8(1 + -1y) Combine like terms: -6y + -54y = -60y -27 + -60y = 2 + 8(1 + -1y) -27 + -60y = 2 + (1 * 8 + -1y * 8) -27 + -60y = 2 + (8 + -8y) Combine like terms: 2 + 8 = 10 -27 + -60y = 10 + -8y Solving -27 + -60y = 10 + -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. -27 + -60y + 8y = 10 + -8y + 8y Combine like terms: -60y + 8y = -52y -27 + -52y = 10 + -8y + 8y Combine like terms: -8y + 8y = 0 -27 + -52y = 10 + 0 -27 + -52y = 10 Add '27' to each side of the equation. -27 + 27 + -52y = 10 + 27 Combine like terms: -27 + 27 = 0 0 + -52y = 10 + 27 -52y = 10 + 27 Combine like terms: 10 + 27 = 37 -52y = 37 Divide each side by '-52'. y = -0.7115384615 Simplifying y = -0.7115384615
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