Question

select the correct answer from each drop-down menu.
the given equation has been solved in the table.

step	statement
2	$-\frac{y}{2} - 6 + 6 = 15 + 6$
3	$-\frac{y}{2} = 21$
4	$-2 \cdot -\frac{y}{2} = -2 \cdot 21$
5	$y = -42$

use the table to complete each statement.
in step 2, the drop-down property of equality was applied.
in step 4, the drop-down property of equality was applied.
drop-down options: addition, subtraction, multiplication, division

Explanation:

For step 2: The equation \(-\frac{y}{2}-6 = 15\) has \(+6\) added to both sides (since \(-6 + 6\) is on the left and \(15+6\) is on the right). This matches the addition property of equality, which states that if \(a = b\), then \(a + c=b + c\) for any real number \(c\).

For step 4: The equation \(-\frac{y}{2}=21\) has both sides multiplied by \(- 2\) (since \(-2\cdot-\frac{y}{2}\) is on the left and \(-2\cdot21\) is on the right). This matches the multiplication property of equality, which states that if \(a = b\), then \(a\cdot c=b\cdot c\) for any real number \(c\).

Answer:

In step 2, the addition property of equality was applied.
In step 4, the multiplication property of equality was applied.