4xy+4x-6y-6 factored completely

(4x - 6) (y + 1)

Step-by-step explanation:

Group them: (4xy + 4x) (-6y - 6)

Take out the greatest common factor for both:

4x (y + 1) - 6 (y + 1)

Put it together: (4x - 6) (y + 1) (y + 1)

Since there are two (y + 1) 's, you can get rid of one, giving you:

(4x - 6) (y + 1)