Y=0.5Y+100

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Solution for Y=0.5Y+100 equation: 


Simplifying
Y = 0.5Y + 100

Reorder the terms:
Y = 100 + 0.5Y

Solving
Y = 100 + 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 = 100 + 0.5Y + -0.5Y

Combine like terms: Y + -0.5Y = 0.5Y
0.5Y = 100 + 0.5Y + -0.5Y

Combine like terms: 0.5Y + -0.5Y = 0.0
0.5Y = 100 + 0.0
0.5Y = 100

Divide each side by '0.5'.
Y = 200

Simplifying
Y = 200

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