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Simplifying -5(5y + -8) + 2(3y + 9) = 0 Reorder the terms: -5(-8 + 5y) + 2(3y + 9) = 0 (-8 * -5 + 5y * -5) + 2(3y + 9) = 0 (40 + -25y) + 2(3y + 9) = 0 Reorder the terms: 40 + -25y + 2(9 + 3y) = 0 40 + -25y + (9 * 2 + 3y * 2) = 0 40 + -25y + (18 + 6y) = 0 Reorder the terms: 40 + 18 + -25y + 6y = 0 Combine like terms: 40 + 18 = 58 58 + -25y + 6y = 0 Combine like terms: -25y + 6y = -19y 58 + -19y = 0 Solving 58 + -19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -19y = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -19y = 0 + -58 -19y = 0 + -58 Combine like terms: 0 + -58 = -58 -19y = -58 Divide each side by '-19'. y = 3.052631579 Simplifying y = 3.052631579
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