Y=[200+0.8(Y-0.25)]+200+200

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Solution for Y=[200+0.8(Y-0.25)]+200+200 equation: 


Simplifying
Y = [200 + 0.8(Y + -0.25)] + 200 + 200

Reorder the terms:
Y = [200 + 0.8(-0.25 + Y)] + 200 + 200
Y = [200 + (-0.25 * 0.8 + Y * 0.8)] + 200 + 200
Y = [200 + (-0.2 + 0.8Y)] + 200 + 200

Combine like terms: 200 + -0.2 = 199.8
Y = [199.8 + 0.8Y] + 200 + 200

Remove brackets around [199.8 + 0.8Y]
Y = 199.8 + 0.8Y + 200 + 200

Reorder the terms:
Y = 199.8 + 200 + 200 + 0.8Y

Combine like terms: 199.8 + 200 = 399.8
Y = 399.8 + 200 + 0.8Y

Combine like terms: 399.8 + 200 = 599.8
Y = 599.8 + 0.8Y

Solving
Y = 599.8 + 0.8Y

Solving for variable 'Y'.

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

Add '-0.8Y' to each side of the equation.
Y + -0.8Y = 599.8 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 599.8 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 599.8 + 0.0
0.2Y = 599.8

Divide each side by '0.2'.
Y = 2999

Simplifying
Y = 2999

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