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Simplifying 3(3y + 6) + -2(y + -8) = 0 Reorder the terms: 3(6 + 3y) + -2(y + -8) = 0 (6 * 3 + 3y * 3) + -2(y + -8) = 0 (18 + 9y) + -2(y + -8) = 0 Reorder the terms: 18 + 9y + -2(-8 + y) = 0 18 + 9y + (-8 * -2 + y * -2) = 0 18 + 9y + (16 + -2y) = 0 Reorder the terms: 18 + 16 + 9y + -2y = 0 Combine like terms: 18 + 16 = 34 34 + 9y + -2y = 0 Combine like terms: 9y + -2y = 7y 34 + 7y = 0 Solving 34 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 7y = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 7y = 0 + -34 7y = 0 + -34 Combine like terms: 0 + -34 = -34 7y = -34 Divide each side by '7'. y = -4.857142857 Simplifying y = -4.857142857
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