(3-2xi)-(6y-yi)=i

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Solution for (3-2xi)-(6y-yi)=i equation:


Simplifying
(3 + -2xi) + -1(6y + -1yi) = i

Remove parenthesis around (3 + -2ix)
3 + -2ix + -1(6y + -1yi) = i

Reorder the terms:
3 + -2ix + -1(-1iy + 6y) = i
3 + -2ix + (-1iy * -1 + 6y * -1) = i
3 + -2ix + (1iy + -6y) = i

Solving
3 + -2ix + 1iy + -6y = i

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.
3 + -2ix + 1iy + -1i + -6y = i + -1i

Reorder the terms:
3 + -1i + -2ix + 1iy + -6y = i + -1i

Combine like terms: i + -1i = 0
3 + -1i + -2ix + 1iy + -6y = 0

Add '-3' to each side of the equation.
3 + -1i + -2ix + 1iy + -3 + -6y = 0 + -3

Reorder the terms:
3 + -3 + -1i + -2ix + 1iy + -6y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1i + -2ix + 1iy + -6y = 0 + -3
-1i + -2ix + 1iy + -6y = 0 + -3

Combine like terms: 0 + -3 = -3
-1i + -2ix + 1iy + -6y = -3

Add '6y' to each side of the equation.
-1i + -2ix + 1iy + -6y + 6y = -3 + 6y

Combine like terms: -6y + 6y = 0
-1i + -2ix + 1iy + 0 = -3 + 6y
-1i + -2ix + 1iy = -3 + 6y

Reorder the terms:
3 + -1i + -2ix + 1iy + -6y = -3 + 6y + 3 + -6y

Reorder the terms:
3 + -1i + -2ix + 1iy + -6y = -3 + 3 + 6y + -6y

Combine like terms: -3 + 3 = 0
3 + -1i + -2ix + 1iy + -6y = 0 + 6y + -6y
3 + -1i + -2ix + 1iy + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
3 + -1i + -2ix + 1iy + -6y = 0

The solution to this equation could not be determined.

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