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Simplifying 0.21(10000) = 0.06y + -0.04(y + 10000) Multiply 0.21 * 10000 2100 = 0.06y + -0.04(y + 10000) Reorder the terms: 2100 = 0.06y + -0.04(10000 + y) 2100 = 0.06y + (10000 * -0.04 + y * -0.04) 2100 = 0.06y + (-400 + -0.04y) Reorder the terms: 2100 = -400 + 0.06y + -0.04y Combine like terms: 0.06y + -0.04y = 0.02y 2100 = -400 + 0.02y Solving 2100 = -400 + 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. 2100 + -0.02y = -400 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 2100 + -0.02y = -400 + 0.00 2100 + -0.02y = -400 Add '-2100' to each side of the equation. 2100 + -2100 + -0.02y = -400 + -2100 Combine like terms: 2100 + -2100 = 0 0 + -0.02y = -400 + -2100 -0.02y = -400 + -2100 Combine like terms: -400 + -2100 = -2500 -0.02y = -2500 Divide each side by '-0.02'. y = 125000 Simplifying y = 125000
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