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Simplifying 0.07y + 0.1(5000 + -1y) = 0.47 0.07y + (5000 * 0.1 + -1y * 0.1) = 0.47 0.07y + (500 + -0.1y) = 0.47 Reorder the terms: 500 + 0.07y + -0.1y = 0.47 Combine like terms: 0.07y + -0.1y = -0.03y 500 + -0.03y = 0.47 Solving 500 + -0.03y = 0.47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -0.03y = 0.47 + -500 Combine like terms: 500 + -500 = 0 0 + -0.03y = 0.47 + -500 -0.03y = 0.47 + -500 Combine like terms: 0.47 + -500 = -499.53 -0.03y = -499.53 Divide each side by '-0.03'. y = 16651 Simplifying y = 16651
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