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Simplifying -0.03y + 0.09(8000 + -1y) = 0.38y -0.03y + (8000 * 0.09 + -1y * 0.09) = 0.38y -0.03y + (720 + -0.09y) = 0.38y Reorder the terms: 720 + -0.03y + -0.09y = 0.38y Combine like terms: -0.03y + -0.09y = -0.12y 720 + -0.12y = 0.38y Solving 720 + -0.12y = 0.38y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.38y' to each side of the equation. 720 + -0.12y + -0.38y = 0.38y + -0.38y Combine like terms: -0.12y + -0.38y = -0.5y 720 + -0.5y = 0.38y + -0.38y Combine like terms: 0.38y + -0.38y = 0.00 720 + -0.5y = 0.00 Add '-720' to each side of the equation. 720 + -720 + -0.5y = 0.00 + -720 Combine like terms: 720 + -720 = 0 0 + -0.5y = 0.00 + -720 -0.5y = 0.00 + -720 Combine like terms: 0.00 + -720 = -720 -0.5y = -720 Divide each side by '-0.5'. y = 1440 Simplifying y = 1440
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