How do you simplify #9(2y-4)-2(7y-12)#?

2 Answers
Jul 1, 2018

Answer:

#4y -12#

Explanation:

#9(2y-4) - 2(7y-12)#

To simplify this, use the distributive property:
cdn.virtualnerd.com

Following this image, we know that:
#color(blue)(9(2y-4) = (9 * 2y) + (9 * -4) = 18y - 36)#
and
#color(blue)(-2(7y-12) = (-2 * 7y) + (-2 * -12) = -14y + 24)#

Therefore, the expression becomes:
#18y - 36 - 14y + 24#

Combine the like terms:
#4y -12#

Hope this helps!

Jul 9, 2018

Answer:

#4(y-3)#

Explanation:

Let's distribute the #9# and #-2# to their respective terms. We get

#18y-36-14y+24#

Next, we can combine our #y# terms to get #4y# and our constants to get #-12#. Thus, we have

#4y-12#

We can recognize that both terms have a #4# in common, so we can factor that out to get

#4(y-3)#

Hope this helps!