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