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Simplifying -5(5y + -9) + 2(4y + 5) = 0 Reorder the terms: -5(-9 + 5y) + 2(4y + 5) = 0 (-9 * -5 + 5y * -5) + 2(4y + 5) = 0 (45 + -25y) + 2(4y + 5) = 0 Reorder the terms: 45 + -25y + 2(5 + 4y) = 0 45 + -25y + (5 * 2 + 4y * 2) = 0 45 + -25y + (10 + 8y) = 0 Reorder the terms: 45 + 10 + -25y + 8y = 0 Combine like terms: 45 + 10 = 55 55 + -25y + 8y = 0 Combine like terms: -25y + 8y = -17y 55 + -17y = 0 Solving 55 + -17y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -17y = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -17y = 0 + -55 -17y = 0 + -55 Combine like terms: 0 + -55 = -55 -17y = -55 Divide each side by '-17'. y = 3.235294118 Simplifying y = 3.235294118
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