Y=200+0.5*(Y-400)+480+0.2*Y-10000*i+500+800-0.35*Y-200*0.07

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Solution for Y=200+0.5*(Y-400)+480+0.2*Y-10000*i+500+800-0.35*Y-200*0.07 equation: 


Simplifying
Y = 200 + 0.5(Y + -400) + 480 + 0.2Y + -10000i + 500 + 800 + -0.35Y + -200 * 0.07

Reorder the terms:
Y = 200 + 0.5(-400 + Y) + 480 + 0.2Y + -10000i + 500 + 800 + -0.35Y + -200 * 0.07
Y = 200 + (-400 * 0.5 + Y * 0.5) + 480 + 0.2Y + -10000i + 500 + 800 + -0.35Y + -200 * 0.07
Y = 200 + (-200 + 0.5Y) + 480 + 0.2Y + -10000i + 500 + 800 + -0.35Y + -200 * 0.07

Multiply -200 * 0.07
Y = 200 + -200 + 0.5Y + 480 + 0.2Y + -10000i + 500 + 800 + -0.35Y + -14

Reorder the terms:
Y = 200 + -200 + 480 + 500 + 800 + -14 + 0.5Y + 0.2Y + -0.35Y + -10000i

Combine like terms: 200 + -200 = 0
Y = 0 + 480 + 500 + 800 + -14 + 0.5Y + 0.2Y + -0.35Y + -10000i
Y = 480 + 500 + 800 + -14 + 0.5Y + 0.2Y + -0.35Y + -10000i

Combine like terms: 480 + 500 = 980
Y = 980 + 800 + -14 + 0.5Y + 0.2Y + -0.35Y + -10000i

Combine like terms: 980 + 800 = 1780
Y = 1780 + -14 + 0.5Y + 0.2Y + -0.35Y + -10000i

Combine like terms: 1780 + -14 = 1766
Y = 1766 + 0.5Y + 0.2Y + -0.35Y + -10000i

Combine like terms: 0.5Y + 0.2Y = 0.7Y
Y = 1766 + 0.7Y + -0.35Y + -10000i

Combine like terms: 0.7Y + -0.35Y = 0.35Y
Y = 1766 + 0.35Y + -10000i

Solving
Y = 1766 + 0.35Y + -10000i

Solving for variable 'Y'.

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

Add '-0.35Y' to each side of the equation.
Y + -0.35Y = 1766 + 0.35Y + -0.35Y + -10000i

Combine like terms: Y + -0.35Y = 0.65Y
0.65Y = 1766 + 0.35Y + -0.35Y + -10000i

Combine like terms: 0.35Y + -0.35Y = 0.00
0.65Y = 1766 + 0.00 + -10000i
0.65Y = 1766 + -10000i

Divide each side by '0.65'.
Y = 2716.923077 + -15384.61538i

Simplifying
Y = 2716.923077 + -15384.61538i

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