Y=200+0.8Y+200+0.1Y+100+100-100-0.5Y

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Solution for Y=200+0.8Y+200+0.1Y+100+100-100-0.5Y equation: 


Simplifying
Y = 200 + 0.8Y + 200 + 0.1Y + 100 + 100 + -100 + -0.5Y

Reorder the terms:
Y = 200 + 200 + 100 + 100 + -100 + 0.8Y + 0.1Y + -0.5Y

Combine like terms: 200 + 200 = 400
Y = 400 + 100 + 100 + -100 + 0.8Y + 0.1Y + -0.5Y

Combine like terms: 400 + 100 = 500
Y = 500 + 100 + -100 + 0.8Y + 0.1Y + -0.5Y

Combine like terms: 500 + 100 = 600
Y = 600 + -100 + 0.8Y + 0.1Y + -0.5Y

Combine like terms: 600 + -100 = 500
Y = 500 + 0.8Y + 0.1Y + -0.5Y

Combine like terms: 0.8Y + 0.1Y = 0.9Y
Y = 500 + 0.9Y + -0.5Y

Combine like terms: 0.9Y + -0.5Y = 0.4Y
Y = 500 + 0.4Y

Solving
Y = 500 + 0.4Y

Solving for variable 'Y'.

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

Add '-0.4Y' to each side of the equation.
Y + -0.4Y = 500 + 0.4Y + -0.4Y

Combine like terms: Y + -0.4Y = 0.6Y
0.6Y = 500 + 0.4Y + -0.4Y

Combine like terms: 0.4Y + -0.4Y = 0.0
0.6Y = 500 + 0.0
0.6Y = 500

Divide each side by '0.6'.
Y = 833.3333333

Simplifying
Y = 833.3333333

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