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Solve for x
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x=i\sqrt{2}-yi
Subtract yi from both sides.
x=i\sqrt{2}-iy
Multiply -1 and i to get -i.
yi=i\sqrt{2}-x
Subtract x from both sides.
iy=-x+\sqrt{2}i
The equation is in standard form.
\frac{iy}{i}=\frac{-x+\sqrt{2}i}{i}
Divide both sides by i.
y=\frac{-x+\sqrt{2}i}{i}
Dividing by i undoes the multiplication by i.
y=ix+\sqrt{2}
Divide i\sqrt{2}-x by i.