Y=100+0.66(Y-200)+300+200

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Solution for Y=100+0.66(Y-200)+300+200 equation: 


Simplifying
Y = 100 + 0.66(Y + -200) + 300 + 200

Reorder the terms:
Y = 100 + 0.66(-200 + Y) + 300 + 200
Y = 100 + (-200 * 0.66 + Y * 0.66) + 300 + 200
Y = 100 + (-132 + 0.66Y) + 300 + 200

Reorder the terms:
Y = 100 + -132 + 300 + 200 + 0.66Y

Combine like terms: 100 + -132 = -32
Y = -32 + 300 + 200 + 0.66Y

Combine like terms: -32 + 300 = 268
Y = 268 + 200 + 0.66Y

Combine like terms: 268 + 200 = 468
Y = 468 + 0.66Y

Solving
Y = 468 + 0.66Y

Solving for variable 'Y'.

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

Add '-0.66Y' to each side of the equation.
Y + -0.66Y = 468 + 0.66Y + -0.66Y

Combine like terms: Y + -0.66Y = 0.34Y
0.34Y = 468 + 0.66Y + -0.66Y

Combine like terms: 0.66Y + -0.66Y = 0.00
0.34Y = 468 + 0.00
0.34Y = 468

Divide each side by '0.34'.
Y = 1376.470588

Simplifying
Y = 1376.470588

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