We are asked to expand the expression $y = (-2x^4 - 3)(-2x^2 + 1)$.

1. Problem Description

We are asked to expand the expression $y = (-2x^4 - 3)(-2x^2 + 1)$.

2. Solution Steps

We use the distributive property (also known as the FOIL method) to expand the expression.

$y = (-2x^4 - 3)(-2x^2 + 1)$

$y = (-2x^4)(-2x^2) + (-2x^4)(1) + (-3)(-2x^2) + (-3)(1)$

$y = 4x^6 - 2x^4 + 6x^2 - 3$

3. Final Answer

$y = 4x^6 - 2x^4 + 6x^2 - 3$