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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

User Smedegaard
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1 Answer

6 votes

Answer:

  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)

User Sbrrk
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