Y=300+.75(Y-300)+500-50*4+300+400-400e

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Solution for Y=300+.75(Y-300)+500-50*4+300+400-400e equation: 


Simplifying
Y = 300 + 0.75(Y + -300) + 500 + -50 * 4 + 300 + 400 + -400e

Reorder the terms:
Y = 300 + 0.75(-300 + Y) + 500 + -50 * 4 + 300 + 400 + -400e
Y = 300 + (-300 * 0.75 + Y * 0.75) + 500 + -50 * 4 + 300 + 400 + -400e
Y = 300 + (-225 + 0.75Y) + 500 + -50 * 4 + 300 + 400 + -400e

Multiply -50 * 4
Y = 300 + -225 + 0.75Y + 500 + -200 + 300 + 400 + -400e

Reorder the terms:
Y = 300 + -225 + 500 + -200 + 300 + 400 + 0.75Y + -400e

Combine like terms: 300 + -225 = 75
Y = 75 + 500 + -200 + 300 + 400 + 0.75Y + -400e

Combine like terms: 75 + 500 = 575
Y = 575 + -200 + 300 + 400 + 0.75Y + -400e

Combine like terms: 575 + -200 = 375
Y = 375 + 300 + 400 + 0.75Y + -400e

Combine like terms: 375 + 300 = 675
Y = 675 + 400 + 0.75Y + -400e

Combine like terms: 675 + 400 = 1075
Y = 1075 + 0.75Y + -400e

Solving
Y = 1075 + 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 = 1075 + 0.75Y + -0.75Y + -400e

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 1075 + 0.75Y + -0.75Y + -400e

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 1075 + 0.00 + -400e
0.25Y = 1075 + -400e

Divide each side by '0.25'.
Y = 4300 + -1600e

Simplifying
Y = 4300 + -1600e

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