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Simplifying -5(5y + -8) + 4(2y + 9) = 0 Reorder the terms: -5(-8 + 5y) + 4(2y + 9) = 0 (-8 * -5 + 5y * -5) + 4(2y + 9) = 0 (40 + -25y) + 4(2y + 9) = 0 Reorder the terms: 40 + -25y + 4(9 + 2y) = 0 40 + -25y + (9 * 4 + 2y * 4) = 0 40 + -25y + (36 + 8y) = 0 Reorder the terms: 40 + 36 + -25y + 8y = 0 Combine like terms: 40 + 36 = 76 76 + -25y + 8y = 0 Combine like terms: -25y + 8y = -17y 76 + -17y = 0 Solving 76 + -17y = 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 + -17y = 0 + -76 Combine like terms: 76 + -76 = 0 0 + -17y = 0 + -76 -17y = 0 + -76 Combine like terms: 0 + -76 = -76 -17y = -76 Divide each side by '-17'. y = 4.470588235 Simplifying y = 4.470588235
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