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Simplifying 0.16(10000) + -0.06y = 0.04(y + 10000) Multiply 0.16 * 10000 1600 + -0.06y = 0.04(y + 10000) Reorder the terms: 1600 + -0.06y = 0.04(10000 + y) 1600 + -0.06y = (10000 * 0.04 + y * 0.04) 1600 + -0.06y = (400 + 0.04y) Solving 1600 + -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. 1600 + -0.06y + -0.04y = 400 + 0.04y + -0.04y Combine like terms: -0.06y + -0.04y = -0.1y 1600 + -0.1y = 400 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 1600 + -0.1y = 400 + 0.00 1600 + -0.1y = 400 Add '-1600' to each side of the equation. 1600 + -1600 + -0.1y = 400 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -0.1y = 400 + -1600 -0.1y = 400 + -1600 Combine like terms: 400 + -1600 = -1200 -0.1y = -1200 Divide each side by '-0.1'. y = 12000 Simplifying y = 12000
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