Y=500+0.75Y+1000+1000+200

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Solution for Y=500+0.75Y+1000+1000+200 equation:


Simplifying
Y = 500 + 0.75Y + 1000 + 1000 + 200

Reorder the terms:
Y = 500 + 1000 + 1000 + 200 + 0.75Y

Combine like terms: 500 + 1000 = 1500
Y = 1500 + 1000 + 200 + 0.75Y

Combine like terms: 1500 + 1000 = 2500
Y = 2500 + 200 + 0.75Y

Combine like terms: 2500 + 200 = 2700
Y = 2700 + 0.75Y

Solving
Y = 2700 + 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 = 2700 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 2700 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 2700 + 0.00
0.25Y = 2700

Divide each side by '0.25'.
Y = 10800

Simplifying
Y = 10800

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