Y=100+0.75*(Y-(100+0.2Y))+50+175

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Solution for Y=100+0.75*(Y-(100+0.2Y))+50+175 equation: 


Simplifying
Y = 100 + 0.75(Y + -1(100 + 0.2Y)) + 50 + 175
Y = 100 + 0.75(Y + (100 * -1 + 0.2Y * -1)) + 50 + 175
Y = 100 + 0.75(Y + (-100 + -0.2Y)) + 50 + 175

Reorder the terms:
Y = 100 + 0.75(-100 + Y + -0.2Y) + 50 + 175

Combine like terms: Y + -0.2Y = 0.8Y
Y = 100 + 0.75(-100 + 0.8Y) + 50 + 175
Y = 100 + (-100 * 0.75 + 0.8Y * 0.75) + 50 + 175
Y = 100 + (-75 + 0.6Y) + 50 + 175

Reorder the terms:
Y = 100 + -75 + 50 + 175 + 0.6Y

Combine like terms: 100 + -75 = 25
Y = 25 + 50 + 175 + 0.6Y

Combine like terms: 25 + 50 = 75
Y = 75 + 175 + 0.6Y

Combine like terms: 75 + 175 = 250
Y = 250 + 0.6Y

Solving
Y = 250 + 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 = 250 + 0.6Y + -0.6Y

Combine like terms: Y + -0.6Y = 0.4Y
0.4Y = 250 + 0.6Y + -0.6Y

Combine like terms: 0.6Y + -0.6Y = 0.0
0.4Y = 250 + 0.0
0.4Y = 250

Divide each side by '0.4'.
Y = 625

Simplifying
Y = 625

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