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Simplifying 125(y + 2) = 4(2y + 3) Reorder the terms: 125(2 + y) = 4(2y + 3) (2 * 125 + y * 125) = 4(2y + 3) (250 + 125y) = 4(2y + 3) Reorder the terms: 250 + 125y = 4(3 + 2y) 250 + 125y = (3 * 4 + 2y * 4) 250 + 125y = (12 + 8y) Solving 250 + 125y = 12 + 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. 250 + 125y + -8y = 12 + 8y + -8y Combine like terms: 125y + -8y = 117y 250 + 117y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 250 + 117y = 12 + 0 250 + 117y = 12 Add '-250' to each side of the equation. 250 + -250 + 117y = 12 + -250 Combine like terms: 250 + -250 = 0 0 + 117y = 12 + -250 117y = 12 + -250 Combine like terms: 12 + -250 = -238 117y = -238 Divide each side by '117'. y = -2.034188034 Simplifying y = -2.034188034
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