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Simplifying -6y + 7(-7y + 8) = -8 + -9(-6 + -1y) Reorder the terms: -6y + 7(8 + -7y) = -8 + -9(-6 + -1y) -6y + (8 * 7 + -7y * 7) = -8 + -9(-6 + -1y) -6y + (56 + -49y) = -8 + -9(-6 + -1y) Reorder the terms: 56 + -6y + -49y = -8 + -9(-6 + -1y) Combine like terms: -6y + -49y = -55y 56 + -55y = -8 + -9(-6 + -1y) 56 + -55y = -8 + (-6 * -9 + -1y * -9) 56 + -55y = -8 + (54 + 9y) Combine like terms: -8 + 54 = 46 56 + -55y = 46 + 9y Solving 56 + -55y = 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. 56 + -55y + -9y = 46 + 9y + -9y Combine like terms: -55y + -9y = -64y 56 + -64y = 46 + 9y + -9y Combine like terms: 9y + -9y = 0 56 + -64y = 46 + 0 56 + -64y = 46 Add '-56' to each side of the equation. 56 + -56 + -64y = 46 + -56 Combine like terms: 56 + -56 = 0 0 + -64y = 46 + -56 -64y = 46 + -56 Combine like terms: 46 + -56 = -10 -64y = -10 Divide each side by '-64'. y = 0.15625 Simplifying y = 0.15625
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