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Simplifying -2(y + -9) = 8(7 + -1y) + -8 Reorder the terms: -2(-9 + y) = 8(7 + -1y) + -8 (-9 * -2 + y * -2) = 8(7 + -1y) + -8 (18 + -2y) = 8(7 + -1y) + -8 18 + -2y = (7 * 8 + -1y * 8) + -8 18 + -2y = (56 + -8y) + -8 Reorder the terms: 18 + -2y = 56 + -8 + -8y Combine like terms: 56 + -8 = 48 18 + -2y = 48 + -8y Solving 18 + -2y = 48 + -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. 18 + -2y + 8y = 48 + -8y + 8y Combine like terms: -2y + 8y = 6y 18 + 6y = 48 + -8y + 8y Combine like terms: -8y + 8y = 0 18 + 6y = 48 + 0 18 + 6y = 48 Add '-18' to each side of the equation. 18 + -18 + 6y = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 6y = 48 + -18 6y = 48 + -18 Combine like terms: 48 + -18 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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