y + (1/3)y + 1 = 9
We can simplify the left side of the equation by combining the two terms with y:
(4/3)y + 1 = 9
Subtracting 1 from both sides:
(4/3)y = 8
Multiplying both sides by 3/4:
y = 6
So the value of y that satisfies the equation is y = 6.
To check our answer, we can substitute y = 6 into the original equation:
y + (1/3)y + 1 = 9
6 + (1/3)(6) + 1 = 9
6 + 2 + 1 = 9
9 = 9
The equation is true, so our solution y = 6 is correct.