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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 = -14y 12 + -14y = 8 + -9(7 + -1y) 12 + -14y = 8 + (7 * -9 + -1y * -9) 12 + -14y = 8 + (-63 + 9y) Combine like terms: 8 + -63 = -55 12 + -14y = -55 + 9y Solving 12 + -14y = -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 + -14y + -9y = -55 + 9y + -9y Combine like terms: -14y + -9y = -23y 12 + -23y = -55 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + -23y = -55 + 0 12 + -23y = -55 Add '-12' to each side of the equation. 12 + -12 + -23y = -55 + -12 Combine like terms: 12 + -12 = 0 0 + -23y = -55 + -12 -23y = -55 + -12 Combine like terms: -55 + -12 = -67 -23y = -67 Divide each side by '-23'. y = 2.913043478 Simplifying y = 2.913043478
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