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Simplifying 0.07y + 0.1(5000 + -1y) = 0.47y 0.07y + (5000 * 0.1 + -1y * 0.1) = 0.47y 0.07y + (500 + -0.1y) = 0.47y Reorder the terms: 500 + 0.07y + -0.1y = 0.47y Combine like terms: 0.07y + -0.1y = -0.03y 500 + -0.03y = 0.47y Solving 500 + -0.03y = 0.47y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.47y' to each side of the equation. 500 + -0.03y + -0.47y = 0.47y + -0.47y Combine like terms: -0.03y + -0.47y = -0.5y 500 + -0.5y = 0.47y + -0.47y Combine like terms: 0.47y + -0.47y = 0.00 500 + -0.5y = 0.00 Add '-500' to each side of the equation. 500 + -500 + -0.5y = 0.00 + -500 Combine like terms: 500 + -500 = 0 0 + -0.5y = 0.00 + -500 -0.5y = 0.00 + -500 Combine like terms: 0.00 + -500 = -500 -0.5y = -500 Divide each side by '-0.5'. y = 1000 Simplifying y = 1000
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