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Simplifying 0.09y + 0.09(900 + -1y) = 0.50y 0.09y + (900 * 0.09 + -1y * 0.09) = 0.50y 0.09y + (81 + -0.09y) = 0.50y Reorder the terms: 81 + 0.09y + -0.09y = 0.50y Combine like terms: 0.09y + -0.09y = 0.00 81 + 0.00 = 0.50y 81 = 0.50y Solving 81 = 0.50y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.50y' to each side of the equation. 81 + -0.50y = 0.50y + -0.50y Combine like terms: 0.50y + -0.50y = 0.00 81 + -0.50y = 0.00 Add '-81' to each side of the equation. 81 + -81 + -0.50y = 0.00 + -81 Combine like terms: 81 + -81 = 0 0 + -0.50y = 0.00 + -81 -0.50y = 0.00 + -81 Combine like terms: 0.00 + -81 = -81 -0.50y = -81 Divide each side by '-0.50'. y = 162 Simplifying y = 162
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