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x=\sqrt{10-i}-iy
Subtract iy from both sides.
x=-iy+\sqrt{10-i}
Reorder the terms.
iy=\sqrt{10-i}-x
Subtract x from both sides.
iy=-x+\sqrt{10-i}
The equation is in standard form.
\frac{iy}{i}=\frac{-x+\sqrt{10-i}}{i}
Divide both sides by i.
y=\frac{-x+\sqrt{10-i}}{i}
Dividing by i undoes the multiplication by i.
y=ix-i\sqrt{10-i}
Divide \sqrt{10-i}-x by i.