6w - y = 2z
To solve it for w, let w in the left side and the other terms on the right side
Add y to both sides to move y from the left side to the right side
6w - y + y = 2z + y
6w = 2z + y
Now make the coefficient of w equal 1 by divide both sides by 6
[tex]\frac{6w}{6}=\frac{2z}{6}+\frac{y}{6}[/tex]Simplify it
[tex]w=\frac{1}{3}z+\frac{1}{6}y[/tex]