I need help following this math problem?

Question

Multiply or divide as indicated. Be sure to reduce all answers to lowest terms.

 

(2y+4)/(5y-5) ÷ (5y+10)/(4-4y)

Answer 1

(2y+4)/(5y-5) ÷ (5y+10)/(4-4y)

 

= (2y+4)/(5y-5) x (4-4y)/(5y+10)      [NOTE WE FLIPPED NUM AND DEM ON SECOND TERM]

 

= ((4-4y)(2y+4))  /  ((5y-5)(5y+10))  

 

= ((4-4y)2(y+2))  /  ((5y-5)5(y+2))     

= ((4-4y)2)  /  ((5y-5)5)                              [NOTE WE CANCELED THE (Y+2)]

 

= ((4-4y)2)  /  ((5y-5)5)

 

= (-4(-1+y)2)  /  (5(y-1)5)

 

= (-4(y-1)2)  /  (5(y-1)5)

 

= ((-4)(2))/((5)(5))

 

= -8/25