Solve for w 6w-y=2z ; for w

$6 w - y = 2 z$ ; for $w$

Add $y$ to both sides of the equation.

$6 w = 2 z + y$

Divide each term in $6 w = 2 z + y$ by $6$ and simplify.

Divide each term in $6 w = 2 z + y$ by $6$ .

$\frac{6 w}{6} = \frac{2 z}{6} + \frac{y}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 w}{6} = \frac{2 z}{6} + \frac{y}{6}$

Divide $w$ by $1$ .

$w = \frac{2 z}{6} + \frac{y}{6}$

Simplify the right side.

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2 z$ .

$w = \frac{2 (z)}{6} + \frac{y}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$w = \frac{2 z}{2 \cdot 3} + \frac{y}{6}$

Cancel the common factor.

$w = \frac{2 z}{2 \cdot 3} + \frac{y}{6}$

Rewrite the expression.

$w = \frac{z}{3} + \frac{y}{6}$