2y2-y-6

Factor -1 out of -y.

2y2-(y)-6

Rewrite -1 as 3 plus -4

2y2+(3-4)y-6

Apply the distributive property.

2y2+3y-4y-6

2y2+3y-4y-6

Group the first two terms and the last two terms.

(2y2+3y)-4y-6

Factor out the greatest common factor (GCF) from each group.

y(2y+3)-2(2y+3)

y(2y+3)-2(2y+3)

Factor the polynomial by factoring out the greatest common factor, 2y+3.

(2y+3)(y-2)

Factor 2y^2-y-6