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Simplifying -5(5y + -10) + 2(2y + 9) = 0 Reorder the terms: -5(-10 + 5y) + 2(2y + 9) = 0 (-10 * -5 + 5y * -5) + 2(2y + 9) = 0 (50 + -25y) + 2(2y + 9) = 0 Reorder the terms: 50 + -25y + 2(9 + 2y) = 0 50 + -25y + (9 * 2 + 2y * 2) = 0 50 + -25y + (18 + 4y) = 0 Reorder the terms: 50 + 18 + -25y + 4y = 0 Combine like terms: 50 + 18 = 68 68 + -25y + 4y = 0 Combine like terms: -25y + 4y = -21y 68 + -21y = 0 Solving 68 + -21y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -21y = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -21y = 0 + -68 -21y = 0 + -68 Combine like terms: 0 + -68 = -68 -21y = -68 Divide each side by '-21'. y = 3.238095238 Simplifying y = 3.238095238
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