Y=500+.75(Y-400)+1000-100*5+400+400-400e

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Solution for Y=500+.75(Y-400)+1000-100*5+400+400-400e equation: 


Simplifying
Y = 500 + 0.75(Y + -400) + 1000 + -100 * 5 + 400 + 400 + -400e

Reorder the terms:
Y = 500 + 0.75(-400 + Y) + 1000 + -100 * 5 + 400 + 400 + -400e
Y = 500 + (-400 * 0.75 + Y * 0.75) + 1000 + -100 * 5 + 400 + 400 + -400e
Y = 500 + (-300 + 0.75Y) + 1000 + -100 * 5 + 400 + 400 + -400e

Multiply -100 * 5
Y = 500 + -300 + 0.75Y + 1000 + -500 + 400 + 400 + -400e

Reorder the terms:
Y = 500 + -300 + 1000 + -500 + 400 + 400 + 0.75Y + -400e

Combine like terms: 500 + -300 = 200
Y = 200 + 1000 + -500 + 400 + 400 + 0.75Y + -400e

Combine like terms: 200 + 1000 = 1200
Y = 1200 + -500 + 400 + 400 + 0.75Y + -400e

Combine like terms: 1200 + -500 = 700
Y = 700 + 400 + 400 + 0.75Y + -400e

Combine like terms: 700 + 400 = 1100
Y = 1100 + 400 + 0.75Y + -400e

Combine like terms: 1100 + 400 = 1500
Y = 1500 + 0.75Y + -400e

Solving
Y = 1500 + 0.75Y + -400e

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 = 1500 + 0.75Y + -0.75Y + -400e

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 1500 + 0.75Y + -0.75Y + -400e

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 1500 + 0.00 + -400e
0.25Y = 1500 + -400e

Divide each side by '0.25'.
Y = 6000 + -1600e

Simplifying
Y = 6000 + -1600e

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