Show the steps to simplify

Question

3[4(-3y)-4]+5[2(-3y)+1]

Answer 1

Hi Ryan,

 

3[4(-3y)-4]+5[2(-3y)+1] = 3[-12y-4] + 5[2(-3y)+1]    (multiply the 4 by -3)

                                      = 3[-12y-4] + 5[-6y+1]        (multiply the 2 by -3)

                                      = 3(-12y) -3(4) + 5[-6y+1]  (distribute the 3 through the first term)

                                      = 3(-12y) -3(4) + 5(-6y)+5    (distribute the 5 through the second term)
                                      = -36y -12 + -30y +5             (multiply 3(-12), 3x4 and 5(-6))

                                      = -66y - 12 + 5                      (combine y terms)

                                      = -66y - 7                              (combine constant terms)

 

I hope that helps.

 

Regards,

Mike N.