Y=.80*(Y-200)+100+175

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Solution for Y=.80*(Y-200)+100+175 equation: 


Simplifying
Y = 0.80(Y + -200) + 100 + 175

Reorder the terms:
Y = 0.80(-200 + Y) + 100 + 175
Y = (-200 * 0.80 + Y * 0.80) + 100 + 175
Y = (-160 + 0.80Y) + 100 + 175

Reorder the terms:
Y = -160 + 100 + 175 + 0.80Y

Combine like terms: -160 + 100 = -60
Y = -60 + 175 + 0.80Y

Combine like terms: -60 + 175 = 115
Y = 115 + 0.80Y

Solving
Y = 115 + 0.80Y

Solving for variable 'Y'.

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

Add '-0.80Y' to each side of the equation.
Y + -0.80Y = 115 + 0.80Y + -0.80Y

Combine like terms: Y + -0.80Y = 0.2Y
0.2Y = 115 + 0.80Y + -0.80Y

Combine like terms: 0.80Y + -0.80Y = 0.00
0.2Y = 115 + 0.00
0.2Y = 115

Divide each side by '0.2'.
Y = 575

Simplifying
Y = 575

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