Y = AB + \(\bar C\) = AB(C + \(\bar C\)) + \(\bar C\)(A + \(\bar A\))(B + \(\bar B\))
= ABC + AB\(\bar C\) + (\(\bar C\)A + \(\bar C\)\(\bar A\))(B + \(\bar B\))
= ABC + AB\(\bar C\) + \(\bar C\)AB + \(\bar C\)A\(\bar B\) + \(\bar C\)\(\bar A\)B + \(\bar C\)\(\bar B\)\(\bar A\)
= \(\bar A\)\(\bar B\)\(\bar C\) + \(\bar A\)B\(\bar C\) + A\(\bar B\)\(\bar C\) + AB\(\bar C\) + ABC.