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Simplifying Y = 100 + 0.8(Y + -200) + 100 + 300 Reorder the terms: Y = 100 + 0.8(-200 + Y) + 100 + 300 Y = 100 + (-200 * 0.8 + Y * 0.8) + 100 + 300 Y = 100 + (-160 + 0.8Y) + 100 + 300 Reorder the terms: Y = 100 + -160 + 100 + 300 + 0.8Y Combine like terms: 100 + -160 = -60 Y = -60 + 100 + 300 + 0.8Y Combine like terms: -60 + 100 = 40 Y = 40 + 300 + 0.8Y Combine like terms: 40 + 300 = 340 Y = 340 + 0.8Y Solving Y = 340 + 0.8Y 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 = 340 + 0.8Y + -0.8Y Combine like terms: Y + -0.8Y = 0.2Y 0.2Y = 340 + 0.8Y + -0.8Y Combine like terms: 0.8Y + -0.8Y = 0.0 0.2Y = 340 + 0.0 0.2Y = 340 Divide each side by '0.2'. Y = 1700 Simplifying Y = 1700
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