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Simplifying 0.14(10000) + -0.08y = 0.02(y + 10000) Multiply 0.14 * 10000 1400 + -0.08y = 0.02(y + 10000) Reorder the terms: 1400 + -0.08y = 0.02(10000 + y) 1400 + -0.08y = (10000 * 0.02 + y * 0.02) 1400 + -0.08y = (200 + 0.02y) Solving 1400 + -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. 1400 + -0.08y + -0.02y = 200 + 0.02y + -0.02y Combine like terms: -0.08y + -0.02y = -0.1y 1400 + -0.1y = 200 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 1400 + -0.1y = 200 + 0.00 1400 + -0.1y = 200 Add '-1400' to each side of the equation. 1400 + -1400 + -0.1y = 200 + -1400 Combine like terms: 1400 + -1400 = 0 0 + -0.1y = 200 + -1400 -0.1y = 200 + -1400 Combine like terms: 200 + -1400 = -1200 -0.1y = -1200 Divide each side by '-0.1'. y = 12000 Simplifying y = 12000
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