Y=100+0.5(Y-200)+300+200

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Solution for Y=100+0.5(Y-200)+300+200 equation: 


Simplifying
Y = 100 + 0.5(Y + -200) + 300 + 200

Reorder the terms:
Y = 100 + 0.5(-200 + Y) + 300 + 200
Y = 100 + (-200 * 0.5 + Y * 0.5) + 300 + 200
Y = 100 + (-100 + 0.5Y) + 300 + 200

Reorder the terms:
Y = 100 + -100 + 300 + 200 + 0.5Y

Combine like terms: 100 + -100 = 0
Y = 0 + 300 + 200 + 0.5Y
Y = 300 + 200 + 0.5Y

Combine like terms: 300 + 200 = 500
Y = 500 + 0.5Y

Solving
Y = 500 + 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 = 500 + 0.5Y + -0.5Y

Combine like terms: Y + -0.5Y = 0.5Y
0.5Y = 500 + 0.5Y + -0.5Y

Combine like terms: 0.5Y + -0.5Y = 0.0
0.5Y = 500 + 0.0
0.5Y = 500

Divide each side by '0.5'.
Y = 1000

Simplifying
Y = 1000

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