Can y= 12x^2-14x-6  be factored? If so what are the factors ?

By playing with factors of $12$ (1 x 12, 2 x 6, 3 x 4) and factors of $6$ ( 1 x 6, 2 x 3) we can factor this as:
$y = \left(6 x + 2\right) \left(2 x - 3\right)$