-4+(y)i=-12-i+8

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Solution for -4+(y)i=-12-i+8 equation: 


Simplifying
-4 + (y) * i = -12 + -1i + 8

Multiply y * i
-4 + iy = -12 + -1i + 8

Reorder the terms:
-4 + iy = -12 + 8 + -1i

Combine like terms: -12 + 8 = -4
-4 + iy = -4 + -1i

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

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

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

Solving
iy = -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.
i + iy = -1i + i

Combine like terms: -1i + i = 0
i + iy = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(1 + y) = 0


Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0

Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Add '-1y' to each side of the equation.
y + -1y = -1 + -1y

Combine like terms: y + -1y = 0
0 = -1 + -1y

Simplifying
0 = -1 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
i = {0}

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