3x+4-i=10+(2+y)i

Solution for 3x+4-i=10+(2+y)i equation:

Simplifying
3x + 4 + -1i = 10 + (2 + y) * i

Reorder the terms:
4 + -1i + 3x = 10 + (2 + y) * i

Reorder the terms for easier multiplication:
4 + -1i + 3x = 10 + i(2 + y)
4 + -1i + 3x = 10 + (2 * i + y * i)
4 + -1i + 3x = 10 + (2i + iy)

Solving
4 + -1i + 3x = 10 + 2i + iy

Solving for variable 'i'.

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

Add '-2i' to each side of the equation.
4 + -1i + -2i + 3x = 10 + 2i + -2i + iy

Combine like terms: -1i + -2i = -3i
4 + -3i + 3x = 10 + 2i + -2i + iy

Combine like terms: 2i + -2i = 0
4 + -3i + 3x = 10 + 0 + iy
4 + -3i + 3x = 10 + iy

Add '-1iy' to each side of the equation.
4 + -3i + -1iy + 3x = 10 + iy + -1iy

Combine like terms: iy + -1iy = 0
4 + -3i + -1iy + 3x = 10 + 0
4 + -3i + -1iy + 3x = 10

Add '-4' to each side of the equation.
4 + -3i + -1iy + -4 + 3x = 10 + -4

Reorder the terms:
4 + -4 + -3i + -1iy + 3x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -3i + -1iy + 3x = 10 + -4
-3i + -1iy + 3x = 10 + -4

Combine like terms: 10 + -4 = 6
-3i + -1iy + 3x = 6

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

Combine like terms: 3x + -3x = 0
-3i + -1iy + 0 = 6 + -3x
-3i + -1iy = 6 + -3x

Reorder the terms:
-6 + -3i + -1iy + 3x = 6 + -3x + -6 + 3x

Reorder the terms:
-6 + -3i + -1iy + 3x = 6 + -6 + -3x + 3x

Combine like terms: 6 + -6 = 0
-6 + -3i + -1iy + 3x = 0 + -3x + 3x
-6 + -3i + -1iy + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + -3i + -1iy + 3x = 0

The solution to this equation could not be determined.