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Simplifying 0.75(20 + 6y) + -0.5(18 + -9y) = 0 (20 * 0.75 + 6y * 0.75) + -0.5(18 + -9y) = 0 (15 + 4.5y) + -0.5(18 + -9y) = 0 15 + 4.5y + (18 * -0.5 + -9y * -0.5) = 0 15 + 4.5y + (-9 + 4.5y) = 0 Reorder the terms: 15 + -9 + 4.5y + 4.5y = 0 Combine like terms: 15 + -9 = 6 6 + 4.5y + 4.5y = 0 Combine like terms: 4.5y + 4.5y = 9y 6 + 9y = 0 Solving 6 + 9y = 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 + 9y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9y = 0 + -6 9y = 0 + -6 Combine like terms: 0 + -6 = -6 9y = -6 Divide each side by '9'. y = -0.6666666667 Simplifying y = -0.6666666667
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