Answer: [tex]\frac{x-5y}{6}[/tex]
Step-by-step explanation:
[tex]\frac{x-y}{2} -\frac{x+y}{3}[/tex]
[tex]\frac{(x-y)(3)-(2)(x+y)}{2*3}=\frac{3x-3y-(2x+2y)}{6}=\frac{3x-3y-2x-2y}{6}=\frac{x-5y}{6}[/tex]