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Simplifying 3(y + 4) + -2(y + -3) = 0 Reorder the terms: 3(4 + y) + -2(y + -3) = 0 (4 * 3 + y * 3) + -2(y + -3) = 0 (12 + 3y) + -2(y + -3) = 0 Reorder the terms: 12 + 3y + -2(-3 + y) = 0 12 + 3y + (-3 * -2 + y * -2) = 0 12 + 3y + (6 + -2y) = 0 Reorder the terms: 12 + 6 + 3y + -2y = 0 Combine like terms: 12 + 6 = 18 18 + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y 18 + 1y = 0 Solving 18 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1y = 0 + -18 1y = 0 + -18 Combine like terms: 0 + -18 = -18 1y = -18 Divide each side by '1'. y = -18 Simplifying y = -18
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