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Simplifying 6(3y + -2(y + -1)) + -2 + 7 = 0 Reorder the terms: 6(3y + -2(-1 + y)) + -2 + 7 = 0 6(3y + (-1 * -2 + y * -2)) + -2 + 7 = 0 6(3y + (2 + -2y)) + -2 + 7 = 0 Reorder the terms: 6(2 + 3y + -2y) + -2 + 7 = 0 Combine like terms: 3y + -2y = 1y 6(2 + 1y) + -2 + 7 = 0 (2 * 6 + 1y * 6) + -2 + 7 = 0 (12 + 6y) + -2 + 7 = 0 Reorder the terms: 12 + -2 + 7 + 6y = 0 Combine like terms: 12 + -2 = 10 10 + 7 + 6y = 0 Combine like terms: 10 + 7 = 17 17 + 6y = 0 Solving 17 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 6y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 6y = 0 + -17 6y = 0 + -17 Combine like terms: 0 + -17 = -17 6y = -17 Divide each side by '6'. y = -2.833333333 Simplifying y = -2.833333333
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