How do you simplify #4(3+7y)+6(2-y)#?

1 Answer
Jun 30, 2018

Answer:

#22y+24#

Explanation:

#4(3+7y) + 6(2-y)#

To simplify this, first use the distributive property (shown below) to simplify #4(3+7y)# and #6(2-y)#:
cdn.virtualnerd.com

Following this image, we know that:
#color(blue)(4(3+7y) = (4 * 3) + (4 * 7y) = 12 + 28y)#
and
#color(blue)(6(2-y) = (6 * 2) + (6 * -y) = 12 - 6y)#

Combine the two expressions:
#12 + 28y + 12 - 6y#

Combine like terms:
#24 + 22y#

#=22y+24#

Hope this helps!