Y=100+.75Y+20+40

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Solution for Y=100+.75Y+20+40 equation: 


Simplifying
Y = 100 + 0.75Y + 20 + 40

Reorder the terms:
Y = 100 + 20 + 40 + 0.75Y

Combine like terms: 100 + 20 = 120
Y = 120 + 40 + 0.75Y

Combine like terms: 120 + 40 = 160
Y = 160 + 0.75Y

Solving
Y = 160 + 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 = 160 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 160 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 160 + 0.00
0.25Y = 160

Divide each side by '0.25'.
Y = 640

Simplifying
Y = 640

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