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Simplifying -2y + 2(6y + 6) = 8 + -9(7 + -1y) Reorder the terms: -2y + 2(6 + 6y) = 8 + -9(7 + -1y) -2y + (6 * 2 + 6y * 2) = 8 + -9(7 + -1y) -2y + (12 + 12y) = 8 + -9(7 + -1y) Reorder the terms: 12 + -2y + 12y = 8 + -9(7 + -1y) Combine like terms: -2y + 12y = 10y 12 + 10y = 8 + -9(7 + -1y) 12 + 10y = 8 + (7 * -9 + -1y * -9) 12 + 10y = 8 + (-63 + 9y) Combine like terms: 8 + -63 = -55 12 + 10y = -55 + 9y Solving 12 + 10y = -55 + 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. 12 + 10y + -9y = -55 + 9y + -9y Combine like terms: 10y + -9y = 1y 12 + 1y = -55 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + 1y = -55 + 0 12 + 1y = -55 Add '-12' to each side of the equation. 12 + -12 + 1y = -55 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = -55 + -12 1y = -55 + -12 Combine like terms: -55 + -12 = -67 1y = -67 Divide each side by '1'. y = -67 Simplifying y = -67
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