Answer:
y = 2/9
Step-by-step explanation:
Solve for y by simplifying both sides of the equation, then isolating the variable.
Answer:
Value of y in [tex]\bold{\frac{2}{3}+y-\frac{1}{9}=\frac{7}{9}}[/tex] is [tex]\frac{2}{9}[/tex]
Solution:
Given that
[tex]\frac{2}{3}+y-\frac{1}{9}=\frac{7}{9}[/tex]
Now adding [tex]\frac{1}{9}[/tex] on both sides,
[tex]\frac{2}{3}+y-\frac{1}{9}+\frac{1}{9}=\frac{7}{9}+\frac{1}{9}[/tex]
On simplifying above equation,
[tex]\frac{2}{3}+y=\frac{8}{9}[/tex]
On subtracting [tex]\frac{2}{3}[/tex] on both sides, we get
[tex]\frac{2}{3}+y-\frac{2}{3}=\frac{8}{9}-\frac{2}{3}[/tex]
Again simplifying the above equation,
[tex]y=\frac{8}{9}-\frac{2}{3}[/tex]
Taking LCM of 3 and 9 and simplify,
[tex]y=\frac{8-6}{9}[/tex]
[tex]y=\frac{2}{9}[/tex]
Hence value of y is [tex]\bold{\frac{2}{9}}[/tex]
