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Simplifying 6(3y + 4) + 2(y + -5) = 0 Reorder the terms: 6(4 + 3y) + 2(y + -5) = 0 (4 * 6 + 3y * 6) + 2(y + -5) = 0 (24 + 18y) + 2(y + -5) = 0 Reorder the terms: 24 + 18y + 2(-5 + y) = 0 24 + 18y + (-5 * 2 + y * 2) = 0 24 + 18y + (-10 + 2y) = 0 Reorder the terms: 24 + -10 + 18y + 2y = 0 Combine like terms: 24 + -10 = 14 14 + 18y + 2y = 0 Combine like terms: 18y + 2y = 20y 14 + 20y = 0 Solving 14 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 20y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 20y = 0 + -14 20y = 0 + -14 Combine like terms: 0 + -14 = -14 20y = -14 Divide each side by '20'. y = -0.7 Simplifying y = -0.7
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