Y=600+0.5Y-100+0.1Y-40i

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Solution for Y=600+0.5Y-100+0.1Y-40i equation: 


Simplifying
Y = 600 + 0.5Y + -100 + 0.1Y + -40i

Reorder the terms:
Y = 600 + -100 + 0.5Y + 0.1Y + -40i

Combine like terms: 600 + -100 = 500
Y = 500 + 0.5Y + 0.1Y + -40i

Combine like terms: 0.5Y + 0.1Y = 0.6Y
Y = 500 + 0.6Y + -40i

Solving
Y = 500 + 0.6Y + -40i

Solving for variable 'Y'.

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

Add '-0.6Y' to each side of the equation.
Y + -0.6Y = 500 + 0.6Y + -0.6Y + -40i

Combine like terms: Y + -0.6Y = 0.4Y
0.4Y = 500 + 0.6Y + -0.6Y + -40i

Combine like terms: 0.6Y + -0.6Y = 0.0
0.4Y = 500 + 0.0 + -40i
0.4Y = 500 + -40i

Divide each side by '0.4'.
Y = 1250 + -100i

Simplifying
Y = 1250 + -100i

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