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Simplifying 5(5y + 2) = 4(2y + -5) Reorder the terms: 5(2 + 5y) = 4(2y + -5) (2 * 5 + 5y * 5) = 4(2y + -5) (10 + 25y) = 4(2y + -5) Reorder the terms: 10 + 25y = 4(-5 + 2y) 10 + 25y = (-5 * 4 + 2y * 4) 10 + 25y = (-20 + 8y) Solving 10 + 25y = -20 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 10 + 25y + -8y = -20 + 8y + -8y Combine like terms: 25y + -8y = 17y 10 + 17y = -20 + 8y + -8y Combine like terms: 8y + -8y = 0 10 + 17y = -20 + 0 10 + 17y = -20 Add '-10' to each side of the equation. 10 + -10 + 17y = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 17y = -20 + -10 17y = -20 + -10 Combine like terms: -20 + -10 = -30 17y = -30 Divide each side by '17'. y = -1.764705882 Simplifying y = -1.764705882
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