Y=500+0.75(Y-100)+250

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Solution for Y=500+0.75(Y-100)+250 equation: 


Simplifying
Y = 500 + 0.75(Y + -100) + 250

Reorder the terms:
Y = 500 + 0.75(-100 + Y) + 250
Y = 500 + (-100 * 0.75 + Y * 0.75) + 250
Y = 500 + (-75 + 0.75Y) + 250

Reorder the terms:
Y = 500 + -75 + 250 + 0.75Y

Combine like terms: 500 + -75 = 425
Y = 425 + 250 + 0.75Y

Combine like terms: 425 + 250 = 675
Y = 675 + 0.75Y

Solving
Y = 675 + 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 = 675 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 675 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 675 + 0.00
0.25Y = 675

Divide each side by '0.25'.
Y = 2700

Simplifying
Y = 2700

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