Question

the equation $-6(y + 5) = 24$ is solved in several steps below. for each step, choose the reason that best justifies it. \

step	reason	\
---	---	\
$-6(y + 5) = 24$	given equation	\
$\dfrac{-6(y + 5)}{-6} = \dfrac{24}{-6}$	addition property of equality	\
$y + 5 = -4$	addition property of equality	\
$y + 5 - 5 = -4 - 5$	addition property of equality	\
$y = -9$	addition property of equality

Explanation:

Step1: Identify equality property for division

Both sides are divided by -6. This uses the Division Property of Equality (if $a=b$ and $c
eq0$, then $\frac{a}{c}=\frac{b}{c}$).
$\frac{-6(y+5)}{-6} = \frac{24}{-6}$

Step2: Identify simplification step

Simplify the division result. This is just basic arithmetic simplification.
$y+5=-4$

Step3: Identify equality property for subtraction

5 is subtracted from both sides. This uses the Subtraction Property of Equality (if $a=b$, then $a-c=b-c$).
$y+5-5=-4-5$

Step4: Identify simplification step

Simplify the subtraction result to find $y$.
$y=-9$

Answer:

Step	Correct Reason
$y+5=-4$	Simplification (Arithmetic Evaluation)
$y+5-5=-4-5$	Subtraction Property of Equality
$y=-9$	Simplification (Arithmetic Evaluation)