Y=30+0.85Y+20+40

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Solution for Y=30+0.85Y+20+40 equation: 


Simplifying
Y = 30 + 0.85Y + 20 + 40

Reorder the terms:
Y = 30 + 20 + 40 + 0.85Y

Combine like terms: 30 + 20 = 50
Y = 50 + 40 + 0.85Y

Combine like terms: 50 + 40 = 90
Y = 90 + 0.85Y

Solving
Y = 90 + 0.85Y

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-0.85Y' to each side of the equation.
Y + -0.85Y = 90 + 0.85Y + -0.85Y

Combine like terms: Y + -0.85Y = 0.15Y
0.15Y = 90 + 0.85Y + -0.85Y

Combine like terms: 0.85Y + -0.85Y = 0.00
0.15Y = 90 + 0.00
0.15Y = 90

Divide each side by '0.15'.
Y = 600

Simplifying
Y = 600

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