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Simplifying 0.06y + 0.13(1000 + -1y) = 0.18y 0.06y + (1000 * 0.13 + -1y * 0.13) = 0.18y 0.06y + (130 + -0.13y) = 0.18y Reorder the terms: 130 + 0.06y + -0.13y = 0.18y Combine like terms: 0.06y + -0.13y = -0.07y 130 + -0.07y = 0.18y Solving 130 + -0.07y = 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. 130 + -0.07y + -0.18y = 0.18y + -0.18y Combine like terms: -0.07y + -0.18y = -0.25y 130 + -0.25y = 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 130 + -0.25y = 0.00 Add '-130' to each side of the equation. 130 + -130 + -0.25y = 0.00 + -130 Combine like terms: 130 + -130 = 0 0 + -0.25y = 0.00 + -130 -0.25y = 0.00 + -130 Combine like terms: 0.00 + -130 = -130 -0.25y = -130 Divide each side by '-0.25'. y = 520 Simplifying y = 520
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