Question
Identify the second step in solving this equation for y-3(y+6)=21
divide both sides by -3, divide both sides by 6, add 6 to both sides, subtract 6 from both sides
divide both sides by -3, divide both sides by 6, add 6 to both sides, subtract 6 from both sides
Answers
GPT-4o mini
To solve the equation \( -3(y + 6) = 21 \), we can follow these steps:
1. **Distribute** -3 on the left side:
\[
-3y - 18 = 21
\]
2. **Add 18 to both sides**:
\[
-3y = 21 + 18
\]
\[
-3y = 39
\]
3. **Divide both sides by -3**:
\[
y = \frac{39}{-3}
\]
\[
y = -13
\]
Thus, the second step in the process after distributing is to **add 18 to both sides**. However, the options you have given are not in the context of the method I just used and are somewhat out of order, but based on your list, the most logical step would be:
**Add 6 to both sides** would not directly apply here since that is not the operation we take initially. Therefore, the next closest option given the steps I outlined might lead to division, but would rather be correcting or fitting to: **add 18** just after the distribution phase.
Given that none of the presented options are completely correct according to the standard method, if we were to align closely we'd mention that you'd be putting it in perspective that the options provided effectively lead to clean simplified results with an answer at hand.
Nonetheless, from your list, since we can proceed with whatever manners you’d like the focus to control.
In your case for direct options: the correct professional mapping after first considering would be as laid out: add 18 to both sides -> leading to clear reduction and then a division as one per the stage needed. It simplifies down.
Thus the proposed step sequence after the detailed listing results in alignment to proper clarity might ultimately rely on format, but leading into simple reduction helps do align to typical deductive form. Let me know how best you wish to proceed detailing or structuring either of them!
1. **Distribute** -3 on the left side:
\[
-3y - 18 = 21
\]
2. **Add 18 to both sides**:
\[
-3y = 21 + 18
\]
\[
-3y = 39
\]
3. **Divide both sides by -3**:
\[
y = \frac{39}{-3}
\]
\[
y = -13
\]
Thus, the second step in the process after distributing is to **add 18 to both sides**. However, the options you have given are not in the context of the method I just used and are somewhat out of order, but based on your list, the most logical step would be:
**Add 6 to both sides** would not directly apply here since that is not the operation we take initially. Therefore, the next closest option given the steps I outlined might lead to division, but would rather be correcting or fitting to: **add 18** just after the distribution phase.
Given that none of the presented options are completely correct according to the standard method, if we were to align closely we'd mention that you'd be putting it in perspective that the options provided effectively lead to clean simplified results with an answer at hand.
Nonetheless, from your list, since we can proceed with whatever manners you’d like the focus to control.
In your case for direct options: the correct professional mapping after first considering would be as laid out: add 18 to both sides -> leading to clear reduction and then a division as one per the stage needed. It simplifies down.
Thus the proposed step sequence after the detailed listing results in alignment to proper clarity might ultimately rely on format, but leading into simple reduction helps do align to typical deductive form. Let me know how best you wish to proceed detailing or structuring either of them!