Question

Justify each step of solving the equation by indicating the property that was used to get to the next step.

- 32 = 2(-2y - 1) + 14y

1. - 32 = - 4y - 2 + 14y

2. 32= 10y - 2

3. 30 = 10y

4. - 3 = y

Answer 1

1. distributive property
2. collecting terms
3. addition property of equality
4. division property of equality

Explanation:

You want to know the justification for the solution steps for ...

-32 = 2(-2y -1) +14y

Solution

1. -32 = -4y -2 + 14y . . . . distributive property

2. -32 = 10y - 2 . . . . collecting terms (like terms can be combined)

3. -30 = 10y . . . . addition property of equality (2 is added to both sides)

4. -3 = y . . . . division property of equality (both sides are divided by 10)