Identify the second step in solving this equation for y : −3(y + 6) = 21 . (1 point) Responses Subtract 6 from both sides. Subtract 6 from both sides. Divide both sides by −3 . Divide both sides by negative 3. Divide both sides by 6. Divide both sides by 6. Add 6 to both sides. Add 6 to both sides.
The second step in solving the equation −3(y + 6) = 21 is to divide both sides by −3.
The second step in solving the equation −3(y + 6) = 21 is to divide both sides by −3.
The second step in solving the equation −3(y + 6) = 21 is to subtract 6 from both sides.
To explain how to arrive at this step, let's break it down:
Step 1: Start by expanding the parentheses. Multiply -3 by both terms inside the parentheses:
-3 * y = -3y
-3 * 6 = -18
So the equation becomes:
-3y - 18 = 21
Now, we want to isolate the variable y on one side of the equation. To do that, we need to get rid of the -18 on the left side. This is where the second step comes in:
Step 2: Subtract 6 from both sides. By doing this, we are effectively canceling out the -18 on the left side:
-3y - 18 - 6 = 21 - 6
This simplifies to:
-3y - 24 = 15
Now, we have successfully isolated the variable y on the left side of the equation. To continue solving, you would proceed to the next step, such as dividing both sides by -3.