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Simplifying -0.08y + 0.13(9000 + -1y) = 0.29y -0.08y + (9000 * 0.13 + -1y * 0.13) = 0.29y -0.08y + (1170 + -0.13y) = 0.29y Reorder the terms: 1170 + -0.08y + -0.13y = 0.29y Combine like terms: -0.08y + -0.13y = -0.21y 1170 + -0.21y = 0.29y Solving 1170 + -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. 1170 + -0.21y + -0.29y = 0.29y + -0.29y Combine like terms: -0.21y + -0.29y = -0.5y 1170 + -0.5y = 0.29y + -0.29y Combine like terms: 0.29y + -0.29y = 0.00 1170 + -0.5y = 0.00 Add '-1170' to each side of the equation. 1170 + -1170 + -0.5y = 0.00 + -1170 Combine like terms: 1170 + -1170 = 0 0 + -0.5y = 0.00 + -1170 -0.5y = 0.00 + -1170 Combine like terms: 0.00 + -1170 = -1170 -0.5y = -1170 Divide each side by '-0.5'. y = 2340 Simplifying y = 2340
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