Answer:
[tex]\frac{1}{3} \left(y-\frac{9}{2} \right)\\[/tex]
Step-by-step explanation:
Remeber that factoring is the same thing as applying the distributive property in reverse. Take the example 3(y + 4). To distribute, we multiply each term by the factor 3 to get the expression 3y + 12. To factor out the 3, we do the opposite, dividing the 3y and the 12 by 3, and pulling the 3 out front to again get 3(y + 4).
Here, we'd like to factor out 1/3 from the expression [tex]\frac{1}{3}y-\frac{3}{2}[/tex]. Dividing each term by 1/3 (the same thing as multiplying each term by 3), we get the expression [tex]y-\frac{9}{2}[/tex]. Remember though, the 1/3 never went away, we just pulled it out of the expression, so our full answer is
[tex]\frac{1}{3} \left(y-\frac{9}{2} \right)\\[/tex]
