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Simplifying 4(3y + 2) + 2(6y + -1) = 0 Reorder the terms: 4(2 + 3y) + 2(6y + -1) = 0 (2 * 4 + 3y * 4) + 2(6y + -1) = 0 (8 + 12y) + 2(6y + -1) = 0 Reorder the terms: 8 + 12y + 2(-1 + 6y) = 0 8 + 12y + (-1 * 2 + 6y * 2) = 0 8 + 12y + (-2 + 12y) = 0 Reorder the terms: 8 + -2 + 12y + 12y = 0 Combine like terms: 8 + -2 = 6 6 + 12y + 12y = 0 Combine like terms: 12y + 12y = 24y 6 + 24y = 0 Solving 6 + 24y = 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 + 24y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 24y = 0 + -6 24y = 0 + -6 Combine like terms: 0 + -6 = -6 24y = -6 Divide each side by '24'. y = -0.25 Simplifying y = -0.25
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