The equation 3(4y-2)= -30 is solved in several steps below. For each step, choose the reason that best justifies it.
12y-6= -30
12y-6+6= -30+6
12y= -24
12y -24
—— = ——-
12 12
Y= -2

Answer Bank: Addition Property of Equality, Subtraction Property of Equality, Multiplication Property of Equality, Division Property of Equality, Simplifying, Distributive Property

The required reasons are Distributive Property, Addition Property of Equality, Simplifying, Division Property of Equality, Simplifying respectively.

Given:

The given equation is:

Several steps of solving the above equation are given.

To find:

The reasons for each step.

Explanation:

We have,

Using distributive property, we get

Add 6 on both sides.

Divide both sides by 12.

Therefore the steps and reasons are shown below:

Steps                                     Reasons

                       Distributive Property

            Addition Property of Equality

                            Simplifying

                           Division Property of Equality

                                 Simplifying

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Step-by-step explanation:

3(4y-2)= -30  

12y-6= -30  Distributive Property

12y-6+6= -30+6   Addition Property of Equality   (the 6 on each side)

12y= -24    Simplifying  

12y -24

—— = ——-           Division Property of Equality    (divide by 12 on each side)      

12          12

Y= -2                Simplifying,  

sine

step-by-step explanation: