5+y+(3x-7)i=9-3i

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Solution for 5+y+(3x-7)i=9-3i equation:


Simplifying
5 + y + (3x + -7) * i = 9 + -3i

Reorder the terms:
5 + y + (-7 + 3x) * i = 9 + -3i

Reorder the terms for easier multiplication:
5 + y + i(-7 + 3x) = 9 + -3i
5 + y + (-7 * i + 3x * i) = 9 + -3i
5 + y + (-7i + 3ix) = 9 + -3i

Reorder the terms:
5 + -7i + 3ix + y = 9 + -3i

Solving
5 + -7i + 3ix + y = 9 + -3i

Solving for variable 'i'.

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

Add '3i' to each side of the equation.
5 + -7i + 3ix + 3i + y = 9 + -3i + 3i

Reorder the terms:
5 + -7i + 3i + 3ix + y = 9 + -3i + 3i

Combine like terms: -7i + 3i = -4i
5 + -4i + 3ix + y = 9 + -3i + 3i

Combine like terms: -3i + 3i = 0
5 + -4i + 3ix + y = 9 + 0
5 + -4i + 3ix + y = 9

Add '-5' to each side of the equation.
5 + -4i + 3ix + -5 + y = 9 + -5

Reorder the terms:
5 + -5 + -4i + 3ix + y = 9 + -5

Combine like terms: 5 + -5 = 0
0 + -4i + 3ix + y = 9 + -5
-4i + 3ix + y = 9 + -5

Combine like terms: 9 + -5 = 4
-4i + 3ix + y = 4

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

Combine like terms: y + -1y = 0
-4i + 3ix + 0 = 4 + -1y
-4i + 3ix = 4 + -1y

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

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

Combine like terms: 4 + -4 = 0
-4 + -4i + 3ix + y = 0 + -1y + y
-4 + -4i + 3ix + y = -1y + y

Combine like terms: -1y + y = 0
-4 + -4i + 3ix + y = 0

The solution to this equation could not be determined.

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