Identify the second step in solving this equation for y

: −3(y + 6) = 21
. (1 point)
Responses

Add 6 to both sides.
Add 6 to both sides.

Divide both sides by 6.
Divide both sides by 6.

Subtract 6 from both sides.
Subtract 6 from both sides.

Divide both sides by −3
.

1 answer

To solve the equation \(-3(y + 6) = 21\), we will start by isolating the term containing \(y\).

  1. First Step: Distribute \(-3\) on the left side to eliminate the parentheses: \[ -3y - 18 = 21 \]

  2. Second Step: Next, we want to isolate the term with \(y\). The correct second step after the distribution is to add 18 to both sides to eliminate the constant on the left side: \[ -3y = 21 + 18 \]

So, the second step will be adding 18 to both sides of the equation.

From the options you provided, none of the responses match adding 18 to both sides. However, if we consider the next actions, the required operation that could be inferred in the context of options given would be to ultimately divide by -3, after rearranging the equation correctly.

Thus, selection should focus on identifying further steps after the initial distribution to solve for \(y\). None of the listed options directly match with the immediate necessary step following the distribution; however, if you need to identify after rearranging: it would lead to the final isolating operation being the correct response that relates.

In conclusion, if strictly adhering to the formatting of options, we have none that directly mention the required second step after simplifying with distribution. In a broader approach, refer to isolating \(y\) progressively with an awareness of proper isolated solving methods.

If you have to select from the provided options and they relate to obtaining \(y\), divide both sides by -3 could be deduced as a further operational step but please note this is contingent on the direct steps taken prior.

Recommended Answer: Divide both sides by -3 (as contextually aligning to the operations).