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Simplifying 0.16(10000) + -0.08y = 0.02(y + 10000) Multiply 0.16 * 10000 1600 + -0.08y = 0.02(y + 10000) Reorder the terms: 1600 + -0.08y = 0.02(10000 + y) 1600 + -0.08y = (10000 * 0.02 + y * 0.02) 1600 + -0.08y = (200 + 0.02y) Solving 1600 + -0.08y = 200 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. 1600 + -0.08y + -0.02y = 200 + 0.02y + -0.02y Combine like terms: -0.08y + -0.02y = -0.1y 1600 + -0.1y = 200 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 1600 + -0.1y = 200 + 0.00 1600 + -0.1y = 200 Add '-1600' to each side of the equation. 1600 + -1600 + -0.1y = 200 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -0.1y = 200 + -1600 -0.1y = 200 + -1600 Combine like terms: 200 + -1600 = -1400 -0.1y = -1400 Divide each side by '-0.1'. y = 14000 Simplifying y = 14000
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