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

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


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

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

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

Combine like terms: 200 + -75 = 125
125 + 100 + 100 + 0.75Y = Y

Combine like terms: 125 + 100 = 225
225 + 100 + 0.75Y = Y

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

Solving
325 + 0.75Y = Y

Solving for variable 'Y'.

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

Add '-1Y' to each side of the equation.
325 + 0.75Y + -1Y = Y + -1Y

Combine like terms: 0.75Y + -1Y = -0.25Y
325 + -0.25Y = Y + -1Y

Combine like terms: Y + -1Y = 0
325 + -0.25Y = 0

Add '-325' to each side of the equation.
325 + -325 + -0.25Y = 0 + -325

Combine like terms: 325 + -325 = 0
0 + -0.25Y = 0 + -325
-0.25Y = 0 + -325

Combine like terms: 0 + -325 = -325
-0.25Y = -325

Divide each side by '-0.25'.
Y = 1300

Simplifying
Y = 1300

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