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Simplifying 0.09y + 0.08(9000 + -1y) = 0.51y 0.09y + (9000 * 0.08 + -1y * 0.08) = 0.51y 0.09y + (720 + -0.08y) = 0.51y Reorder the terms: 720 + 0.09y + -0.08y = 0.51y Combine like terms: 0.09y + -0.08y = 0.01y 720 + 0.01y = 0.51y Solving 720 + 0.01y = 0.51y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.51y' to each side of the equation. 720 + 0.01y + -0.51y = 0.51y + -0.51y Combine like terms: 0.01y + -0.51y = -0.5y 720 + -0.5y = 0.51y + -0.51y Combine like terms: 0.51y + -0.51y = 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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