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Simplifying 0.2(10000) + -0.06y = 0.04(y + 10000) Multiply 0.2 * 10000 2000 + -0.06y = 0.04(y + 10000) Reorder the terms: 2000 + -0.06y = 0.04(10000 + y) 2000 + -0.06y = (10000 * 0.04 + y * 0.04) 2000 + -0.06y = (400 + 0.04y) Solving 2000 + -0.06y = 400 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. 2000 + -0.06y + -0.04y = 400 + 0.04y + -0.04y Combine like terms: -0.06y + -0.04y = -0.1y 2000 + -0.1y = 400 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 2000 + -0.1y = 400 + 0.00 2000 + -0.1y = 400 Add '-2000' to each side of the equation. 2000 + -2000 + -0.1y = 400 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -0.1y = 400 + -2000 -0.1y = 400 + -2000 Combine like terms: 400 + -2000 = -1600 -0.1y = -1600 Divide each side by '-0.1'. y = 16000 Simplifying y = 16000
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