Y=200+0.8(Y-0.1Y)

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Solution for Y=200+0.8(Y-0.1Y) equation: 


Simplifying
Y = 200 + 0.8(Y + -0.1Y)

Combine like terms: Y + -0.1Y = 0.9Y
Y = 200 + 0.8(0.9Y)

Remove parenthesis around (0.9Y)
Y = 200 + 0.8 * 0.9Y

Multiply 0.8 * 0.9
Y = 200 + 0.72Y

Solving
Y = 200 + 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 = 200 + 0.72Y + -0.72Y

Combine like terms: Y + -0.72Y = 0.28Y
0.28Y = 200 + 0.72Y + -0.72Y

Combine like terms: 0.72Y + -0.72Y = 0.00
0.28Y = 200 + 0.00
0.28Y = 200

Divide each side by '0.28'.
Y = 714.2857143

Simplifying
Y = 714.2857143

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