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Simplifying 0.07y + 0.13(3000 + -1y) = 0.44y 0.07y + (3000 * 0.13 + -1y * 0.13) = 0.44y 0.07y + (390 + -0.13y) = 0.44y Reorder the terms: 390 + 0.07y + -0.13y = 0.44y Combine like terms: 0.07y + -0.13y = -0.06y 390 + -0.06y = 0.44y Solving 390 + -0.06y = 0.44y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.44y' to each side of the equation. 390 + -0.06y + -0.44y = 0.44y + -0.44y Combine like terms: -0.06y + -0.44y = -0.5y 390 + -0.5y = 0.44y + -0.44y Combine like terms: 0.44y + -0.44y = 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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