To simplify the algebraic expression [tex]\( y - \frac{3}{3} + 12 \)[/tex], follow these steps:
1. Simplify the fraction [tex]\(\frac{3}{3}\)[/tex]:
[tex]\[
\frac{3}{3} = 1
\][/tex]
2. Substitute this value back into the expression:
[tex]\[
y - 1 + 12
\][/tex]
3. Combine the constant terms [tex]\(-1\)[/tex] and [tex]\(12\)[/tex]:
[tex]\[
-1 + 12 = 11
\][/tex]
4. Substitute [tex]\(11\)[/tex] back into the expression:
[tex]\[
y + 11
\][/tex]
Therefore, the simplified expression is:
[tex]\[
y + 11
\][/tex]
Thus, the correct answer is [tex]\(\boxed{B}\)[/tex].
