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Simplifying 25(y + 3) = 5(3y + 5) Reorder the terms: 25(3 + y) = 5(3y + 5) (3 * 25 + y * 25) = 5(3y + 5) (75 + 25y) = 5(3y + 5) Reorder the terms: 75 + 25y = 5(5 + 3y) 75 + 25y = (5 * 5 + 3y * 5) 75 + 25y = (25 + 15y) Solving 75 + 25y = 25 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 75 + 25y + -15y = 25 + 15y + -15y Combine like terms: 25y + -15y = 10y 75 + 10y = 25 + 15y + -15y Combine like terms: 15y + -15y = 0 75 + 10y = 25 + 0 75 + 10y = 25 Add '-75' to each side of the equation. 75 + -75 + 10y = 25 + -75 Combine like terms: 75 + -75 = 0 0 + 10y = 25 + -75 10y = 25 + -75 Combine like terms: 25 + -75 = -50 10y = -50 Divide each side by '10'. y = -5 Simplifying y = -5
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