Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (32y2 -  24y) -  20

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  9y²-24y-20 

The first term is,  9y²  its coefficient is  9 .
The middle term is,  -24y  its coefficient is  -24 .
The last term, "the constant", is  -20 

Step-1 : Multiply the coefficient of the first term by the constant   9 • -20 = -180 

Step-2 : Find two factors of  -180  whose sum equals the coefficient of the middle term, which is   -24 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -30  and  6 
                     9y² - 30y + 6y - 20

Step-4 : Add up the first 2 terms, pulling out like factors :
                    3y • (3y-10)
              Add up the last 2 terms, pulling out common factors :
                    2 • (3y-10)
Step-5 : Add up the four terms of step 4 :
                    (3y+2)  •  (3y-10)
             Which is the desired factorization

Final result :

  (3y - 10) • (3y + 2)