Y=30+0.9(1-0.2)Y+55+90

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Solution for Y=30+0.9(1-0.2)Y+55+90 equation: 


Simplifying
Y = 30 + 0.9(1 + -0.2) * Y + 55 + 90

Combine like terms: 1 + -0.2 = 0.8
Y = 30 + 0.9(0.8) * Y + 55 + 90

Multiply 0.9 * 0.8
Y = 30 + 0.72Y + 55 + 90

Reorder the terms:
Y = 30 + 55 + 90 + 0.72Y

Combine like terms: 30 + 55 = 85
Y = 85 + 90 + 0.72Y

Combine like terms: 85 + 90 = 175
Y = 175 + 0.72Y

Solving
Y = 175 + 0.72Y

Solving for variable 'Y'.

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

Add '-0.72Y' to each side of the equation.
Y + -0.72Y = 175 + 0.72Y + -0.72Y

Combine like terms: Y + -0.72Y = 0.28Y
0.28Y = 175 + 0.72Y + -0.72Y

Combine like terms: 0.72Y + -0.72Y = 0.00
0.28Y = 175 + 0.00
0.28Y = 175

Divide each side by '0.28'.
Y = 625

Simplifying
Y = 625

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