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Simplifying 25(y + 2) = 5(4y + 5) Reorder the terms: 25(2 + y) = 5(4y + 5) (2 * 25 + y * 25) = 5(4y + 5) (50 + 25y) = 5(4y + 5) Reorder the terms: 50 + 25y = 5(5 + 4y) 50 + 25y = (5 * 5 + 4y * 5) 50 + 25y = (25 + 20y) Solving 50 + 25y = 25 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 50 + 25y + -20y = 25 + 20y + -20y Combine like terms: 25y + -20y = 5y 50 + 5y = 25 + 20y + -20y Combine like terms: 20y + -20y = 0 50 + 5y = 25 + 0 50 + 5y = 25 Add '-50' to each side of the equation. 50 + -50 + 5y = 25 + -50 Combine like terms: 50 + -50 = 0 0 + 5y = 25 + -50 5y = 25 + -50 Combine like terms: 25 + -50 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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