Answer:
z = [tex]\frac{y-x}{3y-x}[/tex]
Step-by-step explanation:
2x+6yz=2xz+2y (rearrange so that z is on one side)
6yz - 2xz = 2y - 2x (divide both sides by 2)
3yz - xz = y - x (factor our z from LHS)
z (3y - x) = y - x
z = [tex]\frac{y-x}{3y-x}[/tex]