(2x+5i)-2i(-6+10i)+iy=10-7i

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Solution for (2x+5i)-2i(-6+10i)+iy=10-7i equation: 


Simplifying
(2x + 5i) + -2i(-6 + 10i) + iy = 10 + -7i

Reorder the terms:
(5i + 2x) + -2i(-6 + 10i) + iy = 10 + -7i

Remove parenthesis around (5i + 2x)
5i + 2x + -2i(-6 + 10i) + iy = 10 + -7i
5i + 2x + (-6 * -2i + 10i * -2i) + iy = 10 + -7i
5i + 2x + (12i + -20i2) + iy = 10 + -7i

Reorder the terms:
5i + 12i + iy + -20i2 + 2x = 10 + -7i

Combine like terms: 5i + 12i = 17i
17i + iy + -20i2 + 2x = 10 + -7i

Solving
17i + iy + -20i2 + 2x = 10 + -7i

Solving for variable 'i'.

Reorder the terms:
-10 + 17i + 7i + iy + -20i2 + 2x = 10 + -7i + -10 + 7i

Combine like terms: 17i + 7i = 24i
-10 + 24i + iy + -20i2 + 2x = 10 + -7i + -10 + 7i

Reorder the terms:
-10 + 24i + iy + -20i2 + 2x = 10 + -10 + -7i + 7i

Combine like terms: 10 + -10 = 0
-10 + 24i + iy + -20i2 + 2x = 0 + -7i + 7i
-10 + 24i + iy + -20i2 + 2x = -7i + 7i

Combine like terms: -7i + 7i = 0
-10 + 24i + iy + -20i2 + 2x = 0

The solution to this equation could not be determined.

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