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Simplifying -2y + -9(7y + 8) = 8 + -8(-6 + -1y) Reorder the terms: -2y + -9(8 + 7y) = 8 + -8(-6 + -1y) -2y + (8 * -9 + 7y * -9) = 8 + -8(-6 + -1y) -2y + (-72 + -63y) = 8 + -8(-6 + -1y) Reorder the terms: -72 + -2y + -63y = 8 + -8(-6 + -1y) Combine like terms: -2y + -63y = -65y -72 + -65y = 8 + -8(-6 + -1y) -72 + -65y = 8 + (-6 * -8 + -1y * -8) -72 + -65y = 8 + (48 + 8y) Combine like terms: 8 + 48 = 56 -72 + -65y = 56 + 8y Solving -72 + -65y = 56 + 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. -72 + -65y + -8y = 56 + 8y + -8y Combine like terms: -65y + -8y = -73y -72 + -73y = 56 + 8y + -8y Combine like terms: 8y + -8y = 0 -72 + -73y = 56 + 0 -72 + -73y = 56 Add '72' to each side of the equation. -72 + 72 + -73y = 56 + 72 Combine like terms: -72 + 72 = 0 0 + -73y = 56 + 72 -73y = 56 + 72 Combine like terms: 56 + 72 = 128 -73y = 128 Divide each side by '-73'. y = -1.753424658 Simplifying y = -1.753424658
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