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Simplifying 0.09y + 0.13(3000 + -1y) = 0.46y 0.09y + (3000 * 0.13 + -1y * 0.13) = 0.46y 0.09y + (390 + -0.13y) = 0.46y Reorder the terms: 390 + 0.09y + -0.13y = 0.46y Combine like terms: 0.09y + -0.13y = -0.04y 390 + -0.04y = 0.46y Solving 390 + -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. 390 + -0.04y + -0.46y = 0.46y + -0.46y Combine like terms: -0.04y + -0.46y = -0.5y 390 + -0.5y = 0.46y + -0.46y Combine like terms: 0.46y + -0.46y = 0.00 390 + -0.5y = 0.00 Add '-390' to each side of the equation. 390 + -390 + -0.5y = 0.00 + -390 Combine like terms: 390 + -390 = 0 0 + -0.5y = 0.00 + -390 -0.5y = 0.00 + -390 Combine like terms: 0.00 + -390 = -390 -0.5y = -390 Divide each side by '-0.5'. y = 780 Simplifying y = 780
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