Need to proof using laws
$$\lnot(p \land \lnot q) \lor q \equiv \lnot p \lor q$$
$\lnot(p \land \lnot q) \lor q$
$\equiv (\lnot p \lor \lnot(\lnot q)) \lor q\quad$ First De Morgan's law
$\equiv (\lnot p \lor q) \lor q \quad$ Double Negation
I think I have the first to laws right. What else do I need to do to prove the equivalence?