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Simplifying 5(5y + 3) = 2(3y + -5) Reorder the terms: 5(3 + 5y) = 2(3y + -5) (3 * 5 + 5y * 5) = 2(3y + -5) (15 + 25y) = 2(3y + -5) Reorder the terms: 15 + 25y = 2(-5 + 3y) 15 + 25y = (-5 * 2 + 3y * 2) 15 + 25y = (-10 + 6y) Solving 15 + 25y = -10 + 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. 15 + 25y + -6y = -10 + 6y + -6y Combine like terms: 25y + -6y = 19y 15 + 19y = -10 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + 19y = -10 + 0 15 + 19y = -10 Add '-15' to each side of the equation. 15 + -15 + 19y = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 19y = -10 + -15 19y = -10 + -15 Combine like terms: -10 + -15 = -25 19y = -25 Divide each side by '19'. y = -1.315789474 Simplifying y = -1.315789474
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