Y=100+.9(Y-500)+200+500+250

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Solution for Y=100+.9(Y-500)+200+500+250 equation: 


Simplifying
Y = 100 + 0.9(Y + -500) + 200 + 500 + 250

Reorder the terms:
Y = 100 + 0.9(-500 + Y) + 200 + 500 + 250
Y = 100 + (-500 * 0.9 + Y * 0.9) + 200 + 500 + 250
Y = 100 + (-450 + 0.9Y) + 200 + 500 + 250

Reorder the terms:
Y = 100 + -450 + 200 + 500 + 250 + 0.9Y

Combine like terms: 100 + -450 = -350
Y = -350 + 200 + 500 + 250 + 0.9Y

Combine like terms: -350 + 200 = -150
Y = -150 + 500 + 250 + 0.9Y

Combine like terms: -150 + 500 = 350
Y = 350 + 250 + 0.9Y

Combine like terms: 350 + 250 = 600
Y = 600 + 0.9Y

Solving
Y = 600 + 0.9Y

Solving for variable 'Y'.

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

Add '-0.9Y' to each side of the equation.
Y + -0.9Y = 600 + 0.9Y + -0.9Y

Combine like terms: Y + -0.9Y = 0.1Y
0.1Y = 600 + 0.9Y + -0.9Y

Combine like terms: 0.9Y + -0.9Y = 0.0
0.1Y = 600 + 0.0
0.1Y = 600

Divide each side by '0.1'.
Y = 6000

Simplifying
Y = 6000

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