Answer: To simplify the expression (12y^2) / (-18y), we can divide both the numerator and the denominator by their greatest common factor (GCF) to reduce the fraction.
First, let's factor out the GCF from the numerator and the denominator. In this case, the GCF of 12y^2 and -18y is 6y.
(12y^2) / (-18y) = (6y * 2y) / (6y * -3)
Next, cancel out the common factor of 6y:
= (2y) / (-3)
So, the simplified expression is 2y / -3, or -2y / 3.
Therefore, (12y^2) / (-18y) simplifies to -2y / 3.