Y=100+0.8Y+100

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Solution for Y=100+0.8Y+100 equation: 


Simplifying
Y = 100 + 0.8Y + 100

Reorder the terms:
Y = 100 + 100 + 0.8Y

Combine like terms: 100 + 100 = 200
Y = 200 + 0.8Y

Solving
Y = 200 + 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 = 200 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 200 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 200 + 0.0
0.2Y = 200

Divide each side by '0.2'.
Y = 1000

Simplifying
Y = 1000

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