Question

the equation $-8(y - 1) = -40$ is solved in several steps below. for each step, choose the reason that best justifies it.

step	reason
$\frac{-8(y - 1)}{-8} = \frac{-40}{-8}$	\choose one\ (dropdown with options: addition property of equality, subtraction property of equality, multiplication property of equality, division property of equality, simplifying, distributive property)
$y - 1 = 5$
$y - 1 + 1 = 5 + 1$
$y = 6$

Explanation:

Step1: Identify the operation

The step \(\frac{-8(y - 1)}{-8}=\frac{-40}{-8}\) involves dividing both sides of the equation \(-8(y - 1)=-40\) by \(-8\).

Step2: Match with property

The Division Property of Equality states that if \(a = b\) and \(c
eq0\), then \(\frac{a}{c}=\frac{b}{c}\). Here, we divided both sides by \(-8\) (a non - zero number) to get the next step. So the reason is the Division Property of Equality.

Answer:

Division Property of Equality