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Simplifying 5(5y + 2) = 3(2y + -5) Reorder the terms: 5(2 + 5y) = 3(2y + -5) (2 * 5 + 5y * 5) = 3(2y + -5) (10 + 25y) = 3(2y + -5) Reorder the terms: 10 + 25y = 3(-5 + 2y) 10 + 25y = (-5 * 3 + 2y * 3) 10 + 25y = (-15 + 6y) Solving 10 + 25y = -15 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 10 + 25y + -6y = -15 + 6y + -6y Combine like terms: 25y + -6y = 19y 10 + 19y = -15 + 6y + -6y Combine like terms: 6y + -6y = 0 10 + 19y = -15 + 0 10 + 19y = -15 Add '-10' to each side of the equation. 10 + -10 + 19y = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 19y = -15 + -10 19y = -15 + -10 Combine like terms: -15 + -10 = -25 19y = -25 Divide each side by '19'. y = -1.315789474 Simplifying y = -1.315789474
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