Y=100+.75(Y-100)+200+100

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Solution for Y=100+.75(Y-100)+200+100 equation: 


Simplifying
Y = 100 + 0.75(Y + -100) + 200 + 100

Reorder the terms:
Y = 100 + 0.75(-100 + Y) + 200 + 100
Y = 100 + (-100 * 0.75 + Y * 0.75) + 200 + 100
Y = 100 + (-75 + 0.75Y) + 200 + 100

Reorder the terms:
Y = 100 + -75 + 200 + 100 + 0.75Y

Combine like terms: 100 + -75 = 25
Y = 25 + 200 + 100 + 0.75Y

Combine like terms: 25 + 200 = 225
Y = 225 + 100 + 0.75Y

Combine like terms: 225 + 100 = 325
Y = 325 + 0.75Y

Solving
Y = 325 + 0.75Y

Solving for variable 'Y'.

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

Add '-0.75Y' to each side of the equation.
Y + -0.75Y = 325 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 325 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 325 + 0.00
0.25Y = 325

Divide each side by '0.25'.
Y = 1300

Simplifying
Y = 1300

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