(5x+2)-6i=4+(2y+1)i

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Solution for (5x+2)-6i=4+(2y+1)i equation: 


Simplifying
(5x + 2) + -6i = 4 + (2y + 1) * i

Reorder the terms:
(2 + 5x) + -6i = 4 + (2y + 1) * i

Remove parenthesis around (2 + 5x)
2 + 5x + -6i = 4 + (2y + 1) * i

Reorder the terms:
2 + -6i + 5x = 4 + (2y + 1) * i

Reorder the terms:
2 + -6i + 5x = 4 + (1 + 2y) * i

Reorder the terms for easier multiplication:
2 + -6i + 5x = 4 + i(1 + 2y)
2 + -6i + 5x = 4 + (1 * i + 2y * i)
2 + -6i + 5x = 4 + (1i + 2iy)

Solving
2 + -6i + 5x = 4 + 1i + 2iy

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.
2 + -6i + -1i + 5x = 4 + 1i + -1i + 2iy

Combine like terms: -6i + -1i = -7i
2 + -7i + 5x = 4 + 1i + -1i + 2iy

Combine like terms: 1i + -1i = 0
2 + -7i + 5x = 4 + 0 + 2iy
2 + -7i + 5x = 4 + 2iy

Add '-2iy' to each side of the equation.
2 + -7i + -2iy + 5x = 4 + 2iy + -2iy

Combine like terms: 2iy + -2iy = 0
2 + -7i + -2iy + 5x = 4 + 0
2 + -7i + -2iy + 5x = 4

Add '-2' to each side of the equation.
2 + -7i + -2iy + -2 + 5x = 4 + -2

Reorder the terms:
2 + -2 + -7i + -2iy + 5x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -7i + -2iy + 5x = 4 + -2
-7i + -2iy + 5x = 4 + -2

Combine like terms: 4 + -2 = 2
-7i + -2iy + 5x = 2

Add '-5x' to each side of the equation.
-7i + -2iy + 5x + -5x = 2 + -5x

Combine like terms: 5x + -5x = 0
-7i + -2iy + 0 = 2 + -5x
-7i + -2iy = 2 + -5x

Reorder the terms:
-2 + -7i + -2iy + 5x = 2 + -5x + -2 + 5x

Reorder the terms:
-2 + -7i + -2iy + 5x = 2 + -2 + -5x + 5x

Combine like terms: 2 + -2 = 0
-2 + -7i + -2iy + 5x = 0 + -5x + 5x
-2 + -7i + -2iy + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + -7i + -2iy + 5x = 0

The solution to this equation could not be determined.

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