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Simplifying -5(3y + -8) + 4(2y + 9) = 0 Reorder the terms: -5(-8 + 3y) + 4(2y + 9) = 0 (-8 * -5 + 3y * -5) + 4(2y + 9) = 0 (40 + -15y) + 4(2y + 9) = 0 Reorder the terms: 40 + -15y + 4(9 + 2y) = 0 40 + -15y + (9 * 4 + 2y * 4) = 0 40 + -15y + (36 + 8y) = 0 Reorder the terms: 40 + 36 + -15y + 8y = 0 Combine like terms: 40 + 36 = 76 76 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 76 + -7y = 0 Solving 76 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + -7y = 0 + -76 Combine like terms: 76 + -76 = 0 0 + -7y = 0 + -76 -7y = 0 + -76 Combine like terms: 0 + -76 = -76 -7y = -76 Divide each side by '-7'. y = 10.85714286 Simplifying y = 10.85714286
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