(4y−5)(8y^2+8y−3)

First, distribute the terms in the second polynomial to each term in the first polynomial:

(4y)(8y^2) + (4y)(8y) + (4y)(-3) + (-5)(8y^2) + (-5)(8y) + (-5)(-3)

32y^3 + 32y^2 - 12y - 40y^2 - 40y + 15

Combine like terms:

32y^3 - 8y^2 - 52y + 15

Therefore, (4y-5)(8y^2+8y-3) simplifies to 32y^3 - 8y^2 - 52y + 15.