(3-i)-(-2i+4)=y

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


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

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

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

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

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

Combine like terms: -1i + 2i = 1i
-1 + 1i = y

Solving
-1 + 1i = y

Solving for variable 'i'.

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

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

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

Divide each side by '1'.
i = 1 + y

Simplifying
i = 1 + y

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