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
[tex]\rightarrow 6(7 - 3y) + 6(y + 1)\\\\\rightarrow 42 - 18y + 6y + 6[/tex]
Combine the like terms
[tex]\rightarrow -12y + 42 + 6[/tex]
Add the constants
[tex]\rightarrow -12y + 48[/tex]
Thus the equivalent expression is -12y + 48 or -12(y - 4) or 12(-y + 4)
