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Simplifying 6(4y + 3) + -5(y + -2) = 0 Reorder the terms: 6(3 + 4y) + -5(y + -2) = 0 (3 * 6 + 4y * 6) + -5(y + -2) = 0 (18 + 24y) + -5(y + -2) = 0 Reorder the terms: 18 + 24y + -5(-2 + y) = 0 18 + 24y + (-2 * -5 + y * -5) = 0 18 + 24y + (10 + -5y) = 0 Reorder the terms: 18 + 10 + 24y + -5y = 0 Combine like terms: 18 + 10 = 28 28 + 24y + -5y = 0 Combine like terms: 24y + -5y = 19y 28 + 19y = 0 Solving 28 + 19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 19y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 19y = 0 + -28 19y = 0 + -28 Combine like terms: 0 + -28 = -28 19y = -28 Divide each side by '19'. y = -1.473684211 Simplifying y = -1.473684211
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