Question

Simplify to create an equivalent expression. 6(7 – 3y)+6(y+1) Choose 1 answer:

Answer 1

The equivalent expression is -12y + 48 or -12(y - 4) or 12(-y + 4)

Solution:

Given that we have to simplify to create an equivalent expression

Given expression is:

6(7 – 3y) + 6(y + 1)

Remove the parenthesis by multiplying terms inside the bracket with constant outside the bracket

`\rightarrow 6(7 - 3y) + 6(y + 1)\\\\\rightarrow 42 - 18y + 6y + 6`

Combine the like terms

`\rightarrow -12y + 42 + 6`

Add the constants

`\rightarrow -12y + 48`

Thus the equivalent expression is -12y + 48 or -12(y - 4) or 12(-y + 4)