Y=10+0.8Y+20

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Solution for Y=10+0.8Y+20 equation: 


Simplifying
Y = 10 + 0.8Y + 20

Reorder the terms:
Y = 10 + 20 + 0.8Y

Combine like terms: 10 + 20 = 30
Y = 30 + 0.8Y

Solving
Y = 30 + 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 = 30 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 30 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 30 + 0.0
0.2Y = 30

Divide each side by '0.2'.
Y = 150

Simplifying
Y = 150

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