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Simplifying -0.08y + 0.13(1000 + -1y) = 0.29y -0.08y + (1000 * 0.13 + -1y * 0.13) = 0.29y -0.08y + (130 + -0.13y) = 0.29y Reorder the terms: 130 + -0.08y + -0.13y = 0.29y Combine like terms: -0.08y + -0.13y = -0.21y 130 + -0.21y = 0.29y Solving 130 + -0.21y = 0.29y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.29y' to each side of the equation. 130 + -0.21y + -0.29y = 0.29y + -0.29y Combine like terms: -0.21y + -0.29y = -0.5y 130 + -0.5y = 0.29y + -0.29y Combine like terms: 0.29y + -0.29y = 0.00 130 + -0.5y = 0.00 Add '-130' to each side of the equation. 130 + -130 + -0.5y = 0.00 + -130 Combine like terms: 130 + -130 = 0 0 + -0.5y = 0.00 + -130 -0.5y = 0.00 + -130 Combine like terms: 0.00 + -130 = -130 -0.5y = -130 Divide each side by '-0.5'. y = 260 Simplifying y = 260
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