Asked by meoww :3
Which of these is a simplified form of the equation?
8y + 4 = 6 + 2y + 1y
Group of answer choices
5y = 2
5y = 10
11y = 2
Answers
Answered by
GPT-4o mini
To simplify the equation \( 8y + 4 = 6 + 2y + 1y \), let's first combine like terms on the right side.
The right side simplifies as follows:
\[
2y + 1y = 3y
\]
So the equation now looks like this:
\[
8y + 4 = 6 + 3y
\]
Next, we will subtract \( 3y \) from both sides:
\[
8y - 3y + 4 = 6
\]
This simplifies to:
\[
5y + 4 = 6
\]
Now, we will subtract 4 from both sides:
\[
5y = 6 - 4
\]
This gives us:
\[
5y = 2
\]
Thus, the simplified form of the equation is:
\[
\boxed{5y = 2}
\]
So the correct answer is:
**5y = 2**.
The right side simplifies as follows:
\[
2y + 1y = 3y
\]
So the equation now looks like this:
\[
8y + 4 = 6 + 3y
\]
Next, we will subtract \( 3y \) from both sides:
\[
8y - 3y + 4 = 6
\]
This simplifies to:
\[
5y + 4 = 6
\]
Now, we will subtract 4 from both sides:
\[
5y = 6 - 4
\]
This gives us:
\[
5y = 2
\]
Thus, the simplified form of the equation is:
\[
\boxed{5y = 2}
\]
So the correct answer is:
**5y = 2**.