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Simplifying -5(3y + -9) + 4(2y + 10) = 0 Reorder the terms: -5(-9 + 3y) + 4(2y + 10) = 0 (-9 * -5 + 3y * -5) + 4(2y + 10) = 0 (45 + -15y) + 4(2y + 10) = 0 Reorder the terms: 45 + -15y + 4(10 + 2y) = 0 45 + -15y + (10 * 4 + 2y * 4) = 0 45 + -15y + (40 + 8y) = 0 Reorder the terms: 45 + 40 + -15y + 8y = 0 Combine like terms: 45 + 40 = 85 85 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 85 + -7y = 0 Solving 85 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -7y = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -7y = 0 + -85 -7y = 0 + -85 Combine like terms: 0 + -85 = -85 -7y = -85 Divide each side by '-7'. y = 12.14285714 Simplifying y = 12.14285714
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