Firstly, we have to find the LCD, or lowest common denominator, of 1/9 and 2/3. We can find this by listing all the multiples of 9 and 3. In this case, the LCM is 9. Multiply 1/9 by 1/1 and 2/3 by 3/3:
![(2)/(3) * (3)/(3)=(6)/(9)\\\\(1)/(9)*(1)/(1)=(1)/(9)\\\\ (6)/(9)+y-(1)/(9)=(7)/(9)](https://img.qammunity.org/2019/formulas/mathematics/high-school/vj8l13ineaurrvopwi7dakpqkz46fqib5h.png)
Now subtract 1/9 from 6/9:
![(5)/(9) +y=(7)/(9)](https://img.qammunity.org/2019/formulas/mathematics/high-school/ojxmcy0txl38ks3plfelpeg26mev69qnqb.png)
Now subtract 5/9 from 7/9 and your answer will be
![y=(2)/(9)](https://img.qammunity.org/2019/formulas/mathematics/high-school/b3d350874hvwipac8hh73hossfb05scxkz.png)