Y+ix-2i=3+4i

Solution for Y+ix-2i=3+4i equation:

Simplifying
Y + ix + -2i = 3 + 4i

Reorder the terms:
Y + -2i + ix = 3 + 4i

Solving
Y + -2i + ix = 3 + 4i

Solving for variable 'Y'.

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

Add '2i' to each side of the equation.
Y + -2i + 2i + ix = 3 + 4i + 2i

Combine like terms: -2i + 2i = 0
Y + 0 + ix = 3 + 4i + 2i
Y + ix = 3 + 4i + 2i

Combine like terms: 4i + 2i = 6i
Y + ix = 3 + 6i

Add '-1ix' to each side of the equation.
Y + ix + -1ix = 3 + 6i + -1ix

Combine like terms: ix + -1ix = 0
Y + 0 = 3 + 6i + -1ix
Y = 3 + 6i + -1ix

Simplifying
Y = 3 + 6i + -1ix