Y=(50+0.8Y)+30+10

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Solution for Y=(50+0.8Y)+30+10 equation: 


Simplifying
Y = (50 + 0.8Y) + 30 + 10

Remove parenthesis around (50 + 0.8Y)
Y = 50 + 0.8Y + 30 + 10

Reorder the terms:
Y = 50 + 30 + 10 + 0.8Y

Combine like terms: 50 + 30 = 80
Y = 80 + 10 + 0.8Y

Combine like terms: 80 + 10 = 90
Y = 90 + 0.8Y

Solving
Y = 90 + 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 = 90 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 90 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 90 + 0.0
0.2Y = 90

Divide each side by '0.2'.
Y = 450

Simplifying
Y = 450

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