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-12y - 16 i dont understand this please explain to me with a good explanation

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Answer: -4(3y+4)

Explanation:

First I found the Great common divisor (-4) and took that number and divided -12y and -16 with it getting 3y and 4 and then I set it up as if I was trying to get -12y and -16 so the best way to do that is to use the distributive property so I put 3y and 4 in parentheses like this (3y+4) then I added the -4 on to get the answer of -4(3y+4)

User Jared Pochtar
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2 votes


\huge\text{Hey there!}



\mathsf{-12y - 16}


\large\text{Let us look for the GCF for each of your numbers because it can}\\\large\text{make this equation somewhat easier to solve.}


\mathsf{-12x \rightarrow -1, -2, -3, -4, -6, -12, \ \& \ -x}\\\\\mathsf{-16 \rightarrow -1, -2, -4, -8, \& -16}\\\\\large\text{Thus, your GCF for both of your numbers is: \boxed{- 4 }}\large\checkmark


\large\text{So, let us put }\rm{-4}\large\text{ in front of your parentheses because we had to factor}\\\large\text{out the common like term they shared together.}


\large\text{Now simplify it furthermore}


\huge\text{This leaves your answer as:}


\huge\boxed{\mathsf{-4(3y + 4)}}\huge\checkmark



\huge\text{Good luck on your assignment \& enjoy your day!}


~
\frak{Amphitrite1040:)}

User Bonteq
by
8.2k points

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