Use the distributive property to remove the parentheses.

-4(6x - 8y)=

-4(6x) - 4(-8y) = -24x + 32y

To remove the parentheses using the distributive property, you need to distribute the -4 to both terms inside the parentheses.

The distributive property states that for any real numbers a, b, and c: a(b + c) = ab + ac.

Applying this to the given expression:
-4(6x - 8y) = -4 * 6x + (-4) * (-8y)

Simplifying:
-4(6x - 8y) = -24x + 32y