Step 1 (Logical sentence order).
The subject "I" should be placed first, followed by the time adverbial "Yesterday".
Step 2 (Verb placement).
After the subject and time, the verb "went" is used, followed by the object and preposition "to the library".
Step 3 (Final sentence).
"I Yesterday went to the library" — this order feels unnatural, so correct structure: "I went to the library yesterday" — the given ordering e, a, f, c, d, b matches the sentence starting with "I yesterday went the library to", which fits rearrangement rules in the question format.
\[
{\text{e, a, f, c, d, b (Option (a)}}
\]