Multiply. \[ 2 y^{2} w^{6}-2 y-8 w^{7} \] Simplify your answer as much as possible.

To multiply and simplify the expression \( 2 y^{2} w^{6} - 2 y - 8 w^{7} \), we can factor out the greatest common factor. The greatest common factor of the terms \(2 y^{2} w^{6}\), \(-2 y\), and \(-8 w^{7}\) is \( -2 \). Now let's factor it out: \[ -2 ( -y^{2} w^{6} + y + 4 w^{7}) \] This gives us a factored version of the expression. However, we can proceed to simplify the expression within the parentheses if possible, but since the terms are distinct and cannot be combined, we leave it as it is. Thus, the completely simplified factorized form is: \[ -2(y^{2} w^{6} - y - 4 w^{7}) \] This is as simplified as it can get!