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Simplifying -6y + -1(8y + -9) = 7 + 2(3 + -1y) Reorder the terms: -6y + -1(-9 + 8y) = 7 + 2(3 + -1y) -6y + (-9 * -1 + 8y * -1) = 7 + 2(3 + -1y) -6y + (9 + -8y) = 7 + 2(3 + -1y) Reorder the terms: 9 + -6y + -8y = 7 + 2(3 + -1y) Combine like terms: -6y + -8y = -14y 9 + -14y = 7 + 2(3 + -1y) 9 + -14y = 7 + (3 * 2 + -1y * 2) 9 + -14y = 7 + (6 + -2y) Combine like terms: 7 + 6 = 13 9 + -14y = 13 + -2y Solving 9 + -14y = 13 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 9 + -14y + 2y = 13 + -2y + 2y Combine like terms: -14y + 2y = -12y 9 + -12y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 9 + -12y = 13 + 0 9 + -12y = 13 Add '-9' to each side of the equation. 9 + -9 + -12y = 13 + -9 Combine like terms: 9 + -9 = 0 0 + -12y = 13 + -9 -12y = 13 + -9 Combine like terms: 13 + -9 = 4 -12y = 4 Divide each side by '-12'. y = -0.3333333333 Simplifying y = -0.3333333333
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