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x+2z=4+y
Add y to both sides.
x=4+y-2z
Subtract 2z from both sides.
-y+2z=4-x
Subtract x from both sides.
-y=4-x-2z
Subtract 2z from both sides.
-y=4-2z-x
The equation is in standard form.
\frac{-y}{-1}=\frac{4-2z-x}{-1}
Divide both sides by -1.
y=\frac{4-2z-x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=x+2z-4
Divide 4-x-2z by -1.