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Simplifying -0.02y + 0.13(4000 + -1y) = 0.35y -0.02y + (4000 * 0.13 + -1y * 0.13) = 0.35y -0.02y + (520 + -0.13y) = 0.35y Reorder the terms: 520 + -0.02y + -0.13y = 0.35y Combine like terms: -0.02y + -0.13y = -0.15y 520 + -0.15y = 0.35y Solving 520 + -0.15y = 0.35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.35y' to each side of the equation. 520 + -0.15y + -0.35y = 0.35y + -0.35y Combine like terms: -0.15y + -0.35y = -0.5y 520 + -0.5y = 0.35y + -0.35y Combine like terms: 0.35y + -0.35y = 0.00 520 + -0.5y = 0.00 Add '-520' to each side of the equation. 520 + -520 + -0.5y = 0.00 + -520 Combine like terms: 520 + -520 = 0 0 + -0.5y = 0.00 + -520 -0.5y = 0.00 + -520 Combine like terms: 0.00 + -520 = -520 -0.5y = -520 Divide each side by '-0.5'. y = 1040 Simplifying y = 1040
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