Y=250+0.75(Y-100)+125+200

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Solution for Y=250+0.75(Y-100)+125+200 equation: 


Simplifying
Y = 250 + 0.75(Y + -100) + 125 + 200

Reorder the terms:
Y = 250 + 0.75(-100 + Y) + 125 + 200
Y = 250 + (-100 * 0.75 + Y * 0.75) + 125 + 200
Y = 250 + (-75 + 0.75Y) + 125 + 200

Reorder the terms:
Y = 250 + -75 + 125 + 200 + 0.75Y

Combine like terms: 250 + -75 = 175
Y = 175 + 125 + 200 + 0.75Y

Combine like terms: 175 + 125 = 300
Y = 300 + 200 + 0.75Y

Combine like terms: 300 + 200 = 500
Y = 500 + 0.75Y

Solving
Y = 500 + 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 = 500 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 500 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 500 + 0.00
0.25Y = 500

Divide each side by '0.25'.
Y = 2000

Simplifying
Y = 2000

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