Answer and Step-by-step explanation:
According to the question the answer you should be getting is : [tex]y =\frac{2}{9}[/tex]
Let's solve your equation step by step like this :
Step 1 : Simplify both sides of the equation :
[tex]\frac{2}{y}+-\frac{1}{9} =\frac{7}{9}[/tex]
[tex]\frac{2}{3}+y+\frac{-1}{9}=\frac{7}{9}[/tex]
[tex](y)+(\frac{2}{3}+\frac{-1}{9})=\frac{7}{9}[/tex] (Combine the like terms)
[tex]y+\frac{5}{9}=\frac{7}{9}[/tex]
Step 2 : Subtract 5/9 from both sides :
[tex]y+\frac{5}{9}-\frac{5}{9}=\frac{7}{9}-\frac{5}{9}[/tex]
[tex]y=\frac{5}{9}[/tex]