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Simplifying 0.05y + 0.09(3000 + -1y) = 0.46y 0.05y + (3000 * 0.09 + -1y * 0.09) = 0.46y 0.05y + (270 + -0.09y) = 0.46y Reorder the terms: 270 + 0.05y + -0.09y = 0.46y Combine like terms: 0.05y + -0.09y = -0.04y 270 + -0.04y = 0.46y Solving 270 + -0.04y = 0.46y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.46y' to each side of the equation. 270 + -0.04y + -0.46y = 0.46y + -0.46y Combine like terms: -0.04y + -0.46y = -0.5y 270 + -0.5y = 0.46y + -0.46y Combine like terms: 0.46y + -0.46y = 0.00 270 + -0.5y = 0.00 Add '-270' to each side of the equation. 270 + -270 + -0.5y = 0.00 + -270 Combine like terms: 270 + -270 = 0 0 + -0.5y = 0.00 + -270 -0.5y = 0.00 + -270 Combine like terms: 0.00 + -270 = -270 -0.5y = -270 Divide each side by '-0.5'. y = 540 Simplifying y = 540
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