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Simplifying 25(y + 4) = 5(2y + 5) Reorder the terms: 25(4 + y) = 5(2y + 5) (4 * 25 + y * 25) = 5(2y + 5) (100 + 25y) = 5(2y + 5) Reorder the terms: 100 + 25y = 5(5 + 2y) 100 + 25y = (5 * 5 + 2y * 5) 100 + 25y = (25 + 10y) Solving 100 + 25y = 25 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 100 + 25y + -10y = 25 + 10y + -10y Combine like terms: 25y + -10y = 15y 100 + 15y = 25 + 10y + -10y Combine like terms: 10y + -10y = 0 100 + 15y = 25 + 0 100 + 15y = 25 Add '-100' to each side of the equation. 100 + -100 + 15y = 25 + -100 Combine like terms: 100 + -100 = 0 0 + 15y = 25 + -100 15y = 25 + -100 Combine like terms: 25 + -100 = -75 15y = -75 Divide each side by '15'. y = -5 Simplifying y = -5
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