Y=200+0.8(Y-0)+200+0.1(Y)+100+100-200-0.15(Y)

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Solution for Y=200+0.8(Y-0)+200+0.1(Y)+100+100-200-0.15(Y) equation: 


Simplifying
Y = 200 + 0.8(Y + 0) + 200 + 0.1(Y) + 100 + 100 + -200 + -0.15(Y)

Reorder the terms:
Y = 200 + 0.8(0 + Y) + 200 + 0.1(Y) + 100 + 100 + -200 + -0.15(Y)
Remove the zero:
Y = 200 + 0.8(Y) + 200 + 0.1(Y) + 100 + 100 + -200 + -0.15(Y)

Reorder the terms:
Y = 200 + 200 + 100 + 100 + -200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 200 + 200 = 400
Y = 400 + 100 + 100 + -200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 400 + 100 = 500
Y = 500 + 100 + -200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 500 + 100 = 600
Y = 600 + -200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 600 + -200 = 400
Y = 400 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 0.8Y + 0.1Y = 0.9Y
Y = 400 + 0.9Y + -0.15Y

Combine like terms: 0.9Y + -0.15Y = 0.75Y
Y = 400 + 0.75Y

Solving
Y = 400 + 0.75Y

Solving for variable 'Y'.

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

Add '-0.75Y' to each side of the equation.
Y + -0.75Y = 400 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 400 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 400 + 0.00
0.25Y = 400

Divide each side by '0.25'.
Y = 1600

Simplifying
Y = 1600

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