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Simplifying 5(1 + y) = 15(1 + -1y) (1 * 5 + y * 5) = 15(1 + -1y) (5 + 5y) = 15(1 + -1y) 5 + 5y = (1 * 15 + -1y * 15) 5 + 5y = (15 + -15y) Solving 5 + 5y = 15 + -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. 5 + 5y + 15y = 15 + -15y + 15y Combine like terms: 5y + 15y = 20y 5 + 20y = 15 + -15y + 15y Combine like terms: -15y + 15y = 0 5 + 20y = 15 + 0 5 + 20y = 15 Add '-5' to each side of the equation. 5 + -5 + 20y = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 20y = 15 + -5 20y = 15 + -5 Combine like terms: 15 + -5 = 10 20y = 10 Divide each side by '20'. y = 0.5 Simplifying y = 0.5
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