10=(5x-10)+2yi

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Solution for 10=(5x-10)+2yi equation:


Simplifying
10 = (5x + -10) + 2yi

Reorder the terms:
10 = (-10 + 5x) + 2yi

Remove parenthesis around (-10 + 5x)
10 = -10 + 5x + 2yi

Reorder the terms:
10 = -10 + 2iy + 5x

Solving
10 = -10 + 2iy + 5x

Solving for variable 'i'.

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

Add '-2iy' to each side of the equation.
10 + -2iy = -10 + 2iy + -2iy + 5x

Combine like terms: 2iy + -2iy = 0
10 + -2iy = -10 + 0 + 5x
10 + -2iy = -10 + 5x

Add '-10' to each side of the equation.
10 + -10 + -2iy = -10 + -10 + 5x

Combine like terms: 10 + -10 = 0
0 + -2iy = -10 + -10 + 5x
-2iy = -10 + -10 + 5x

Combine like terms: -10 + -10 = -20
-2iy = -20 + 5x

Divide each side by '-2y'.
i = 10y-1 + -2.5xy-1

Simplifying
i = 10y-1 + -2.5xy-1

Reorder the terms:
i = -2.5xy-1 + 10y-1

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