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 -8(y - 1) = -40 given equation \\(\frac{-8(y - 1)}{-8} = \frac{-40}{-8}\\) division property of equality \\(y - 1 = 5\\) \choose one\ \\(y - 1 + 1 = 5 + 1\\) addition property of equality \\(y = 6\\) subtraction property of equality multiplication property of equality division property of equality simplifying distributive property

Explanation:

Step1: Analyze the step \( \frac{-8(y - 1)}{-8}=\frac{-40}{-8} \) to \( y - 1 = 5 \)

When we divide \( \frac{-8(y - 1)}{-8} \), the \(-8\) in the numerator and denominator cancels out, leaving \( y - 1 \). Similarly, dividing \(\frac{-40}{-8}\) gives \( 5 \). This is a process of simplifying the fractions by performing the division operation. So the reason is Simplifying.

Answer:

Simplifying