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Simplifying 0.06y + 0.13(8000 + -1y) = 0.43y 0.06y + (8000 * 0.13 + -1y * 0.13) = 0.43y 0.06y + (1040 + -0.13y) = 0.43y Reorder the terms: 1040 + 0.06y + -0.13y = 0.43y Combine like terms: 0.06y + -0.13y = -0.07y 1040 + -0.07y = 0.43y Solving 1040 + -0.07y = 0.43y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.43y' to each side of the equation. 1040 + -0.07y + -0.43y = 0.43y + -0.43y Combine like terms: -0.07y + -0.43y = -0.5y 1040 + -0.5y = 0.43y + -0.43y Combine like terms: 0.43y + -0.43y = 0.00 1040 + -0.5y = 0.00 Add '-1040' to each side of the equation. 1040 + -1040 + -0.5y = 0.00 + -1040 Combine like terms: 1040 + -1040 = 0 0 + -0.5y = 0.00 + -1040 -0.5y = 0.00 + -1040 Combine like terms: 0.00 + -1040 = -1040 -0.5y = -1040 Divide each side by '-0.5'. y = 2080 Simplifying y = 2080
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