3+i=(y-x)+(y-2x)i

Solution for 3+i=(y-x)+(y-2x)i equation:

Simplifying
3 + i = (y + -1x) + (y + -2x) * i

Reorder the terms:
3 + i = (-1x + y) + (y + -2x) * i

Remove parenthesis around (-1x + y)
3 + i = -1x + y + (y + -2x) * i

Reorder the terms:
3 + i = -1x + y + (-2x + y) * i

Reorder the terms for easier multiplication:
3 + i = -1x + y + i(-2x + y)
3 + i = -1x + y + (-2x * i + y * i)
3 + i = -1x + y + (-2ix + iy)

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

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

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.