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

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


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

Combine like terms: Y + -0.25Y = 0.75Y
Y = [200 + 0.8(0.75Y)] + 200 + 200

Remove parenthesis around (0.75Y)
Y = [200 + 0.8 * 0.75Y] + 200 + 200

Multiply 0.8 * 0.75
Y = [200 + 0.6Y] + 200 + 200

Remove brackets around [200 + 0.6Y]
Y = 200 + 0.6Y + 200 + 200

Reorder the terms:
Y = 200 + 200 + 200 + 0.6Y

Combine like terms: 200 + 200 = 400
Y = 400 + 200 + 0.6Y

Combine like terms: 400 + 200 = 600
Y = 600 + 0.6Y

Solving
Y = 600 + 0.6Y

Solving for variable 'Y'.

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

Add '-0.6Y' to each side of the equation.
Y + -0.6Y = 600 + 0.6Y + -0.6Y

Combine like terms: Y + -0.6Y = 0.4Y
0.4Y = 600 + 0.6Y + -0.6Y

Combine like terms: 0.6Y + -0.6Y = 0.0
0.4Y = 600 + 0.0
0.4Y = 600

Divide each side by '0.4'.
Y = 1500

Simplifying
Y = 1500

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