Y=300+.6666(Y-300)+500-50*4+300+400-400e

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Solution for Y=300+.6666(Y-300)+500-50*4+300+400-400e equation: 


Simplifying
Y = 300 + 0.6666(Y + -300) + 500 + -50 * 4 + 300 + 400 + -400e

Reorder the terms:
Y = 300 + 0.6666(-300 + Y) + 500 + -50 * 4 + 300 + 400 + -400e
Y = 300 + (-300 * 0.6666 + Y * 0.6666) + 500 + -50 * 4 + 300 + 400 + -400e
Y = 300 + (-199.98 + 0.6666Y) + 500 + -50 * 4 + 300 + 400 + -400e

Multiply -50 * 4
Y = 300 + -199.98 + 0.6666Y + 500 + -200 + 300 + 400 + -400e

Reorder the terms:
Y = 300 + -199.98 + 500 + -200 + 300 + 400 + 0.6666Y + -400e

Combine like terms: 300 + -199.98 = 100.02
Y = 100.02 + 500 + -200 + 300 + 400 + 0.6666Y + -400e

Combine like terms: 100.02 + 500 = 600.02
Y = 600.02 + -200 + 300 + 400 + 0.6666Y + -400e

Combine like terms: 600.02 + -200 = 400.02
Y = 400.02 + 300 + 400 + 0.6666Y + -400e

Combine like terms: 400.02 + 300 = 700.02
Y = 700.02 + 400 + 0.6666Y + -400e

Combine like terms: 700.02 + 400 = 1100.02
Y = 1100.02 + 0.6666Y + -400e

Solving
Y = 1100.02 + 0.6666Y + -400e

Solving for variable 'Y'.

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

Add '-0.6666Y' to each side of the equation.
Y + -0.6666Y = 1100.02 + 0.6666Y + -0.6666Y + -400e

Combine like terms: Y + -0.6666Y = 0.3334Y
0.3334Y = 1100.02 + 0.6666Y + -0.6666Y + -400e

Combine like terms: 0.6666Y + -0.6666Y = 0.0000
0.3334Y = 1100.02 + 0.0000 + -400e
0.3334Y = 1100.02 + -400e

Divide each side by '0.3334'.
Y = 3299.40012 + -1199.760048e

Simplifying
Y = 3299.40012 + -1199.760048e

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