I'm assuming this is 6y^2 + 4y. Factor out 2y from both terms.
2y (3y +2). Write one (1) as a numerator and the rest as a denominator.
1 / [(2y)(3y +2)] That is the reciprocal of your starting number and its factored.
w/o factoring its just : 1 / (6y^2 + 4y)