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Simplifying 0.10(50) + 0.25(y) = 0.20(50 + y) Multiply 0.10 * 50 5 + 0.25(y) = 0.20(50 + y) 5 + 0.25y = (50 * 0.20 + y * 0.20) 5 + 0.25y = (10 + 0.20y) Solving 5 + 0.25y = 10 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. 5 + 0.25y + -0.20y = 10 + 0.20y + -0.20y Combine like terms: 0.25y + -0.20y = 0.05y 5 + 0.05y = 10 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 5 + 0.05y = 10 + 0.00 5 + 0.05y = 10 Add '-5' to each side of the equation. 5 + -5 + 0.05y = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 0.05y = 10 + -5 0.05y = 10 + -5 Combine like terms: 10 + -5 = 5 0.05y = 5 Divide each side by '0.05'. y = 100 Simplifying y = 100
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