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Using the Properties of Equality, fill the blanks with the correct value to show the solution for y.
3(y-2) = 18
3y-_ =18
3y =
What is the value of y? |

Answer 1

`3y-6=18\\\\3y=24`

The value of "y" is:
`y=8`

Explanation:

Given the following equation:

`3(y-2) = 18`

1. You must apply the Distributive property on the left side of the equation (This is:
`a(b\±c)=ab\±ac`). Then:

`(3)(y)+(3)(-2) = 18\\\\3y-6=18`

2. Now you need to apply the Addition Property of Equality. Remember that this states that:

`If\ a=b,\ then\ a+c=b+c`

So, adding 6 to both sides of the equation, you get:

`3y-6+(6)=18+(6)\\\\3y=24`

3. Finally, you can apply the Division Property of Equality, which states that:

`If\ a=b,\ then\ (a)/(c)=(b)/(c)`

So, dividing both sides of the equation by 3, you get:

`(3y)/(3)=(24)/(3)\\\\y=8`