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Simplifying 0.05y + 0.1(5000 + -1y) = 0.2y 0.05y + (5000 * 0.1 + -1y * 0.1) = 0.2y 0.05y + (500 + -0.1y) = 0.2y Reorder the terms: 500 + 0.05y + -0.1y = 0.2y Combine like terms: 0.05y + -0.1y = -0.05y 500 + -0.05y = 0.2y Solving 500 + -0.05y = 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. 500 + -0.05y + -0.2y = 0.2y + -0.2y Combine like terms: -0.05y + -0.2y = -0.25y 500 + -0.25y = 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 500 + -0.25y = 0.0 Add '-500' to each side of the equation. 500 + -500 + -0.25y = 0.0 + -500 Combine like terms: 500 + -500 = 0 0 + -0.25y = 0.0 + -500 -0.25y = 0.0 + -500 Combine like terms: 0.0 + -500 = -500 -0.25y = -500 Divide each side by '-0.25'. y = 2000 Simplifying y = 2000
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