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Simplifying -2y + -7(6y + -8) = 1 + 9(1 + -1y) Reorder the terms: -2y + -7(-8 + 6y) = 1 + 9(1 + -1y) -2y + (-8 * -7 + 6y * -7) = 1 + 9(1 + -1y) -2y + (56 + -42y) = 1 + 9(1 + -1y) Reorder the terms: 56 + -2y + -42y = 1 + 9(1 + -1y) Combine like terms: -2y + -42y = -44y 56 + -44y = 1 + 9(1 + -1y) 56 + -44y = 1 + (1 * 9 + -1y * 9) 56 + -44y = 1 + (9 + -9y) Combine like terms: 1 + 9 = 10 56 + -44y = 10 + -9y Solving 56 + -44y = 10 + -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 + -44y + 9y = 10 + -9y + 9y Combine like terms: -44y + 9y = -35y 56 + -35y = 10 + -9y + 9y Combine like terms: -9y + 9y = 0 56 + -35y = 10 + 0 56 + -35y = 10 Add '-56' to each side of the equation. 56 + -56 + -35y = 10 + -56 Combine like terms: 56 + -56 = 0 0 + -35y = 10 + -56 -35y = 10 + -56 Combine like terms: 10 + -56 = -46 -35y = -46 Divide each side by '-35'. y = 1.314285714 Simplifying y = 1.314285714
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