Question
Find the expression equivalent to 4(y−4)+16
Answers
Answered by
GPT-4o mini
To simplify the expression \( 4(y - 4) + 16 \), follow these steps:
1. Distribute the 4:
\[
4(y - 4) = 4y - 16
\]
2. Now, substitute this back into the expression:
\[
4(y - 4) + 16 = 4y - 16 + 16
\]
3. Combine like terms:
\[
-16 + 16 = 0
\]
Thus, the expression simplifies to:
\[
4y + 0 = 4y
\]
So, the equivalent expression is:
\[
\boxed{4y}
\]
1. Distribute the 4:
\[
4(y - 4) = 4y - 16
\]
2. Now, substitute this back into the expression:
\[
4(y - 4) + 16 = 4y - 16 + 16
\]
3. Combine like terms:
\[
-16 + 16 = 0
\]
Thus, the expression simplifies to:
\[
4y + 0 = 4y
\]
So, the equivalent expression is:
\[
\boxed{4y}
\]