Verified Answer :

\(4y \ \textgreater \ 2(3y + 1) \\ \\ 2y \ \textgreater \ 3y + 1 \\ \\ 2y - 3y \ \textgreater \ 1 \\ \\ -y \ \textgreater \ 1 \\ \\ y \ \textless \ -1 \\ \\\)

The final result is: y < -1.