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Simplifying -2y + 9(2y + 7) = 1 + -9(-7 + -1y) Reorder the terms: -2y + 9(7 + 2y) = 1 + -9(-7 + -1y) -2y + (7 * 9 + 2y * 9) = 1 + -9(-7 + -1y) -2y + (63 + 18y) = 1 + -9(-7 + -1y) Reorder the terms: 63 + -2y + 18y = 1 + -9(-7 + -1y) Combine like terms: -2y + 18y = 16y 63 + 16y = 1 + -9(-7 + -1y) 63 + 16y = 1 + (-7 * -9 + -1y * -9) 63 + 16y = 1 + (63 + 9y) Combine like terms: 1 + 63 = 64 63 + 16y = 64 + 9y Solving 63 + 16y = 64 + 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. 63 + 16y + -9y = 64 + 9y + -9y Combine like terms: 16y + -9y = 7y 63 + 7y = 64 + 9y + -9y Combine like terms: 9y + -9y = 0 63 + 7y = 64 + 0 63 + 7y = 64 Add '-63' to each side of the equation. 63 + -63 + 7y = 64 + -63 Combine like terms: 63 + -63 = 0 0 + 7y = 64 + -63 7y = 64 + -63 Combine like terms: 64 + -63 = 1 7y = 1 Divide each side by '7'. y = 0.1428571429 Simplifying y = 0.1428571429
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