To solve the equation \(-3(y + 6) = 21\) for \(y\), the first step would be to simplify the left side by distributing the \(-3\):
\(-3y - 18 = 21\).
The second step would be to isolate the term involving \(y\). To do this, we need to move \(-18\) to the right side of the equation, which involves adding 18 to both sides:
\(-3y - 18 + 18 = 21 + 18\),
which simplifies to:
\(-3y = 39\).
Thus, the second step of solving the original equation is:
Add 18 to both sides.
However, it looks like that option is not present in the responses you provided. Let me clarify the most relevant option available:
From the options given, none of the responses directly match the correct second step after addressing the distribution correctly. The option "Subtract 6 from both sides" is not relevant here as it wouldn't help in isolating \(y\) after the first step.
If we are focused on following through the solution, after distributing, the next logical move from the choices presented would be to divide both sides by \(-3\), but it contextually comes after adding 18 or correctly isolating terms.
So, given the context of these choices, you could argue that:
Divide both sides by −3 is the closest, though technically it follows after addressing the addition of 18.
3 answers