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Simplifying 0.2(10000) + -0.02y = 0.08(y + 10000) Multiply 0.2 * 10000 2000 + -0.02y = 0.08(y + 10000) Reorder the terms: 2000 + -0.02y = 0.08(10000 + y) 2000 + -0.02y = (10000 * 0.08 + y * 0.08) 2000 + -0.02y = (800 + 0.08y) Solving 2000 + -0.02y = 800 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. 2000 + -0.02y + -0.08y = 800 + 0.08y + -0.08y Combine like terms: -0.02y + -0.08y = -0.1y 2000 + -0.1y = 800 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 2000 + -0.1y = 800 + 0.00 2000 + -0.1y = 800 Add '-2000' to each side of the equation. 2000 + -2000 + -0.1y = 800 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -0.1y = 800 + -2000 -0.1y = 800 + -2000 Combine like terms: 800 + -2000 = -1200 -0.1y = -1200 Divide each side by '-0.1'. y = 12000 Simplifying y = 12000
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