Subtract the polynomials.

(4x^2y^2 - 10xy + 4y) - (6x^2y^2 + 6xy - 9y + 6x)

To subtract the polynomials, we subtract the corresponding terms with like terms.

First, let's subtract the terms with x^2y^2:

4x^2y^2 - 6x^2y^2 = -2x^2y^2

Next, let's subtract the terms with xy:

-10xy - 6xy = -16xy

Now, let's subtract the terms with y:

4y - 9y = -5y

Lastly, let's subtract the terms with x:

0x - 6x = -6x

Putting it all together, the subtracted polynomial is:

-2x^2y^2 - 16xy - 5y - 6x