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Simplifying Y = 200 + 0.8(Y + 0) + 200 + 0.1y + 100 + 100 + -100 + -0.15y Reorder the terms: Y = 200 + 0.8(0 + Y) + 200 + 0.1y + 100 + 100 + -100 + -0.15y Remove the zero: Y = 200 + 0.8(Y) + 200 + 0.1y + 100 + 100 + -100 + -0.15y Reorder the terms: Y = 200 + 200 + 100 + 100 + -100 + 0.8Y + 0.1y + -0.15y Combine like terms: 200 + 200 = 400 Y = 400 + 100 + 100 + -100 + 0.8Y + 0.1y + -0.15y Combine like terms: 400 + 100 = 500 Y = 500 + 100 + -100 + 0.8Y + 0.1y + -0.15y Combine like terms: 500 + 100 = 600 Y = 600 + -100 + 0.8Y + 0.1y + -0.15y Combine like terms: 600 + -100 = 500 Y = 500 + 0.8Y + 0.1y + -0.15y Combine like terms: 0.1y + -0.15y = -0.05y Y = 500 + 0.8Y + -0.05y Solving Y = 500 + 0.8Y + -0.05y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-0.8Y' to each side of the equation. Y + -0.8Y = 500 + 0.8Y + -0.8Y + -0.05y Combine like terms: Y + -0.8Y = 0.2Y 0.2Y = 500 + 0.8Y + -0.8Y + -0.05y Combine like terms: 0.8Y + -0.8Y = 0.0 0.2Y = 500 + 0.0 + -0.05y 0.2Y = 500 + -0.05y Divide each side by '0.2'. Y = 2500 + -0.25y Simplifying Y = 2500 + -0.25y
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