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Simplifying 2(3y + 6) + -3(-4 + -1y) = 0 Reorder the terms: 2(6 + 3y) + -3(-4 + -1y) = 0 (6 * 2 + 3y * 2) + -3(-4 + -1y) = 0 (12 + 6y) + -3(-4 + -1y) = 0 12 + 6y + (-4 * -3 + -1y * -3) = 0 12 + 6y + (12 + 3y) = 0 Reorder the terms: 12 + 12 + 6y + 3y = 0 Combine like terms: 12 + 12 = 24 24 + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y 24 + 9y = 0 Solving 24 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 9y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 9y = 0 + -24 9y = 0 + -24 Combine like terms: 0 + -24 = -24 9y = -24 Divide each side by '9'. y = -2.666666667 Simplifying y = -2.666666667
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