Y=200+0.8(Y-100)+300+100

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Solution for Y=200+0.8(Y-100)+300+100 equation: 


Simplifying
Y = 200 + 0.8(Y + -100) + 300 + 100

Reorder the terms:
Y = 200 + 0.8(-100 + Y) + 300 + 100
Y = 200 + (-100 * 0.8 + Y * 0.8) + 300 + 100
Y = 200 + (-80 + 0.8Y) + 300 + 100

Reorder the terms:
Y = 200 + -80 + 300 + 100 + 0.8Y

Combine like terms: 200 + -80 = 120
Y = 120 + 300 + 100 + 0.8Y

Combine like terms: 120 + 300 = 420
Y = 420 + 100 + 0.8Y

Combine like terms: 420 + 100 = 520
Y = 520 + 0.8Y

Solving
Y = 520 + 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 = 520 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 520 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 520 + 0.0
0.2Y = 520

Divide each side by '0.2'.
Y = 2600

Simplifying
Y = 2600

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