(2y-7)+(3x+4)i=1+i

Solution for (2y-7)+(3x+4)i=1+i equation:

Simplifying
(2y + -7) + (3x + 4) * i = 1 + i

Reorder the terms:
(-7 + 2y) + (3x + 4) * i = 1 + i

Remove parenthesis around (-7 + 2y)
-7 + 2y + (3x + 4) * i = 1 + i

Reorder the terms:
-7 + 2y + (4 + 3x) * i = 1 + i

Reorder the terms for easier multiplication:
-7 + 2y + i(4 + 3x) = 1 + i
-7 + 2y + (4 * i + 3x * i) = 1 + i
-7 + 2y + (4i + 3ix) = 1 + i

Reorder the terms:
-7 + 4i + 3ix + 2y = 1 + i

Solving
-7 + 4i + 3ix + 2y = 1 + i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
-7 + 4i + 3ix + -1i + 2y = 1 + i + -1i

Reorder the terms:
-7 + 4i + -1i + 3ix + 2y = 1 + i + -1i

Combine like terms: 4i + -1i = 3i
-7 + 3i + 3ix + 2y = 1 + i + -1i

Combine like terms: i + -1i = 0
-7 + 3i + 3ix + 2y = 1 + 0
-7 + 3i + 3ix + 2y = 1

Add '7' to each side of the equation.
-7 + 3i + 3ix + 7 + 2y = 1 + 7

Reorder the terms:
-7 + 7 + 3i + 3ix + 2y = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 3i + 3ix + 2y = 1 + 7
3i + 3ix + 2y = 1 + 7

Combine like terms: 1 + 7 = 8
3i + 3ix + 2y = 8

Add '-2y' to each side of the equation.
3i + 3ix + 2y + -2y = 8 + -2y

Combine like terms: 2y + -2y = 0
3i + 3ix + 0 = 8 + -2y
3i + 3ix = 8 + -2y

Reorder the terms:
-8 + 3i + 3ix + 2y = 8 + -2y + -8 + 2y

Reorder the terms:
-8 + 3i + 3ix + 2y = 8 + -8 + -2y + 2y

Combine like terms: 8 + -8 = 0
-8 + 3i + 3ix + 2y = 0 + -2y + 2y
-8 + 3i + 3ix + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-8 + 3i + 3ix + 2y = 0

The solution to this equation could not be determined.