Final answer:
To factor out the greatest common monomial factor from 8y²-24y, we can rewrite it as 8y(y-3).
Step-by-step explanation:
To factor out the greatest common monomial factor from 8y²-24y, we need to find the largest number or variable that can divide both 8y² and 24y. In this case, the greatest common monomial factor is 8y, since it can be divided evenly into both terms. To factor it out, we can rewrite the expression as:
8y²-24y = 8y(y-3)
So, the factored form of 8y²-24y is 8y(y-3).