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Simplifying 6(12y + 8) + -3(4y + 6) = 0 Reorder the terms: 6(8 + 12y) + -3(4y + 6) = 0 (8 * 6 + 12y * 6) + -3(4y + 6) = 0 (48 + 72y) + -3(4y + 6) = 0 Reorder the terms: 48 + 72y + -3(6 + 4y) = 0 48 + 72y + (6 * -3 + 4y * -3) = 0 48 + 72y + (-18 + -12y) = 0 Reorder the terms: 48 + -18 + 72y + -12y = 0 Combine like terms: 48 + -18 = 30 30 + 72y + -12y = 0 Combine like terms: 72y + -12y = 60y 30 + 60y = 0 Solving 30 + 60y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 60y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 60y = 0 + -30 60y = 0 + -30 Combine like terms: 0 + -30 = -30 60y = -30 Divide each side by '60'. y = -0.5 Simplifying y = -0.5
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