Question

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

Answer 1

`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)`:

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!