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Simplifying Y = 100 + 0.5(Y + -200) + 250 + 200 Reorder the terms: Y = 100 + 0.5(-200 + Y) + 250 + 200 Y = 100 + (-200 * 0.5 + Y * 0.5) + 250 + 200 Y = 100 + (-100 + 0.5Y) + 250 + 200 Reorder the terms: Y = 100 + -100 + 250 + 200 + 0.5Y Combine like terms: 100 + -100 = 0 Y = 0 + 250 + 200 + 0.5Y Y = 250 + 200 + 0.5Y Combine like terms: 250 + 200 = 450 Y = 450 + 0.5Y Solving Y = 450 + 0.5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-0.5Y' to each side of the equation. Y + -0.5Y = 450 + 0.5Y + -0.5Y Combine like terms: Y + -0.5Y = 0.5Y 0.5Y = 450 + 0.5Y + -0.5Y Combine like terms: 0.5Y + -0.5Y = 0.0 0.5Y = 450 + 0.0 0.5Y = 450 Divide each side by '0.5'. Y = 900 Simplifying Y = 900
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