(3x+2i)+(5+yi)=-2-i

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Solution for (3x+2i)+(5+yi)=-2-i equation: 


Simplifying
(3x + 2i) + (5 + yi) = -2 + -1i

Reorder the terms:
(2i + 3x) + (5 + yi) = -2 + -1i

Remove parenthesis around (2i + 3x)
2i + 3x + (5 + yi) = -2 + -1i

Remove parenthesis around (5 + iy)
2i + 3x + 5 + iy = -2 + -1i

Reorder the terms:
5 + 2i + iy + 3x = -2 + -1i

Solving
5 + 2i + iy + 3x = -2 + -1i

Solving for variable 'i'.

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

Add 'i' to each side of the equation.
5 + 2i + iy + i + 3x = -2 + -1i + i

Reorder the terms:
5 + 2i + i + iy + 3x = -2 + -1i + i

Combine like terms: 2i + i = 3i
5 + 3i + iy + 3x = -2 + -1i + i

Combine like terms: -1i + i = 0
5 + 3i + iy + 3x = -2 + 0
5 + 3i + iy + 3x = -2

Add '-5' to each side of the equation.
5 + 3i + iy + -5 + 3x = -2 + -5

Reorder the terms:
5 + -5 + 3i + iy + 3x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + 3i + iy + 3x = -2 + -5
3i + iy + 3x = -2 + -5

Combine like terms: -2 + -5 = -7
3i + iy + 3x = -7

Add '-3x' to each side of the equation.
3i + iy + 3x + -3x = -7 + -3x

Combine like terms: 3x + -3x = 0
3i + iy + 0 = -7 + -3x
3i + iy = -7 + -3x

Reorder the terms:
7 + 3i + iy + 3x = -7 + -3x + 7 + 3x

Reorder the terms:
7 + 3i + iy + 3x = -7 + 7 + -3x + 3x

Combine like terms: -7 + 7 = 0
7 + 3i + iy + 3x = 0 + -3x + 3x
7 + 3i + iy + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 3i + iy + 3x = 0

The solution to this equation could not be determined.

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