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

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Answer 1 · 2018-06-30T06:16:18

$22y+24$

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

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!

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