Y=400+0.5(Y-200)+250+200+150

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Solution for Y=400+0.5(Y-200)+250+200+150 equation: 


Simplifying
Y = 400 + 0.5(Y + -200) + 250 + 200 + 150

Reorder the terms:
Y = 400 + 0.5(-200 + Y) + 250 + 200 + 150
Y = 400 + (-200 * 0.5 + Y * 0.5) + 250 + 200 + 150
Y = 400 + (-100 + 0.5Y) + 250 + 200 + 150

Reorder the terms:
Y = 400 + -100 + 250 + 200 + 150 + 0.5Y

Combine like terms: 400 + -100 = 300
Y = 300 + 250 + 200 + 150 + 0.5Y

Combine like terms: 300 + 250 = 550
Y = 550 + 200 + 150 + 0.5Y

Combine like terms: 550 + 200 = 750
Y = 750 + 150 + 0.5Y

Combine like terms: 750 + 150 = 900
Y = 900 + 0.5Y

Solving
Y = 900 + 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 = 900 + 0.5Y + -0.5Y

Combine like terms: Y + -0.5Y = 0.5Y
0.5Y = 900 + 0.5Y + -0.5Y

Combine like terms: 0.5Y + -0.5Y = 0.0
0.5Y = 900 + 0.0
0.5Y = 900

Divide each side by '0.5'.
Y = 1800

Simplifying
Y = 1800

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