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Simplifying 0.03y + 0.14(400 + -1y) = 0.38y 0.03y + (400 * 0.14 + -1y * 0.14) = 0.38y 0.03y + (56 + -0.14y) = 0.38y Reorder the terms: 56 + 0.03y + -0.14y = 0.38y Combine like terms: 0.03y + -0.14y = -0.11y 56 + -0.11y = 0.38y Solving 56 + -0.11y = 0.38y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.38y' to each side of the equation. 56 + -0.11y + -0.38y = 0.38y + -0.38y Combine like terms: -0.11y + -0.38y = -0.49y 56 + -0.49y = 0.38y + -0.38y Combine like terms: 0.38y + -0.38y = 0.00 56 + -0.49y = 0.00 Add '-56' to each side of the equation. 56 + -56 + -0.49y = 0.00 + -56 Combine like terms: 56 + -56 = 0 0 + -0.49y = 0.00 + -56 -0.49y = 0.00 + -56 Combine like terms: 0.00 + -56 = -56 -0.49y = -56 Divide each side by '-0.49'. y = 114.2857143 Simplifying y = 114.2857143
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