Concept:
Acid chlorides react with amines to form amides.
\( \mathrm{LiAlH_4} \) reduces amides to amines by converting the \(\mathrm{CO}\) group into a \(\mathrm{CH_2}\) group.
Step 1: Identify the starting compound.
The given compound is benzylamine:
\[
\mathrm{Ph{-}CH_2NH_2}
\]
Step 2: Reaction with benzoyl chloride (\( \mathrm{PhCOCl} \)) in presence of pyridine.
This is an acylation reaction, forming an amide:
\[
\mathrm{Ph{-}CH_2NH_2 \xrightarrow[]{PhCOCl/Py} Ph{-}CH_2NHCOPh}
\]
Thus,
\[
X = \mathrm{Ph{-}CH_2NHCOPh}
\]
Step 3: Reduction with \( \mathrm{LiAlH_4} \).
Lithium aluminium hydride reduces amides as:
\[
\mathrm{RCONHR' \xrightarrow[]{LiAlH_4} RCH_2NHR'}
\]
Applying this:
\[
\mathrm{Ph{-}CH_2NHCOPh \xrightarrow[]{LiAlH_4} Ph{-}CH_2NHCH_2Ph}
\]
Step 4: Final product.
\[
\boxed{Y = \mathrm{Ph{-}CH_2NHCH_2Ph}}
\]