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Simplifying -5(5y + -9) + 4(3y + 5) = 0 Reorder the terms: -5(-9 + 5y) + 4(3y + 5) = 0 (-9 * -5 + 5y * -5) + 4(3y + 5) = 0 (45 + -25y) + 4(3y + 5) = 0 Reorder the terms: 45 + -25y + 4(5 + 3y) = 0 45 + -25y + (5 * 4 + 3y * 4) = 0 45 + -25y + (20 + 12y) = 0 Reorder the terms: 45 + 20 + -25y + 12y = 0 Combine like terms: 45 + 20 = 65 65 + -25y + 12y = 0 Combine like terms: -25y + 12y = -13y 65 + -13y = 0 Solving 65 + -13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -13y = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -13y = 0 + -65 -13y = 0 + -65 Combine like terms: 0 + -65 = -65 -13y = -65 Divide each side by '-13'. y = 5 Simplifying y = 5
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