2y+iy=3i+ix-iy

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Solution for 2y+iy=3i+ix-iy equation:


Simplifying
2y + iy = 3i + ix + -1iy

Reorder the terms:
iy + 2y = 3i + ix + -1iy

Solving
iy + 2y = 3i + ix + -1iy

Solving for variable 'i'.

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

Add '-3i' to each side of the equation.
iy + -3i + 2y = 3i + ix + -3i + -1iy

Reorder the terms:
-3i + iy + 2y = 3i + ix + -3i + -1iy

Reorder the terms:
-3i + iy + 2y = 3i + -3i + ix + -1iy

Combine like terms: 3i + -3i = 0
-3i + iy + 2y = 0 + ix + -1iy
-3i + iy + 2y = ix + -1iy

Add '-1ix' to each side of the equation.
-3i + iy + -1ix + 2y = ix + -1ix + -1iy

Reorder the terms:
-3i + -1ix + iy + 2y = ix + -1ix + -1iy

Combine like terms: ix + -1ix = 0
-3i + -1ix + iy + 2y = 0 + -1iy
-3i + -1ix + iy + 2y = -1iy

Add 'iy' to each side of the equation.
-3i + -1ix + iy + iy + 2y = -1iy + iy

Combine like terms: iy + iy = 2iy
-3i + -1ix + 2iy + 2y = -1iy + iy

Combine like terms: -1iy + iy = 0
-3i + -1ix + 2iy + 2y = 0

Add '-2y' to each side of the equation.
-3i + -1ix + 2iy + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
-3i + -1ix + 2iy + 0 = 0 + -2y
-3i + -1ix + 2iy = 0 + -2y
Remove the zero:
-3i + -1ix + 2iy = -2y

Combine like terms: -2y + 2y = 0
-3i + -1ix + 2iy + 2y = 0

The solution to this equation could not be determined.

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