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Simplifying 0.04y + 0.11(400 + -1y) = 0.18y 0.04y + (400 * 0.11 + -1y * 0.11) = 0.18y 0.04y + (44 + -0.11y) = 0.18y Reorder the terms: 44 + 0.04y + -0.11y = 0.18y Combine like terms: 0.04y + -0.11y = -0.07y 44 + -0.07y = 0.18y Solving 44 + -0.07y = 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. 44 + -0.07y + -0.18y = 0.18y + -0.18y Combine like terms: -0.07y + -0.18y = -0.25y 44 + -0.25y = 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 44 + -0.25y = 0.00 Add '-44' to each side of the equation. 44 + -44 + -0.25y = 0.00 + -44 Combine like terms: 44 + -44 = 0 0 + -0.25y = 0.00 + -44 -0.25y = 0.00 + -44 Combine like terms: 0.00 + -44 = -44 -0.25y = -44 Divide each side by '-0.25'. y = 176 Simplifying y = 176
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