Y=200+0.8(Y-100)

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


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

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

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

Solving
Y = 120 + 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 = 120 + 0.8Y + -0.8Y

Combine like terms: Y + -0.8Y = 0.2Y
0.2Y = 120 + 0.8Y + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
0.2Y = 120 + 0.0
0.2Y = 120

Divide each side by '0.2'.
Y = 600

Simplifying
Y = 600

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