Question

How do you solve `\frac { 2( y - 2) } { 4} + 7= 14`?

Answer 1

Isolate `y` by performing opposite operations. As a result, `y=16`.

Explanation:

Solving the equation indicates isolating the variable, in this case, it is `y`. Given what the equation equals to, we can perform opposite operations to work backwards and ultimately isolate `y`.

`(2(y−2))/4+7=14`

First, let's remove the constant, `7`, by subtracting it from `14`.

`(2(y−2))/4=7`

Now, let's remove the `4`, by multiplying the `7` that we got from the previous step.

`2(y−2)=28`

Now, let's remove the coefficient, `2`, that is outside the bracket. We can do this by dividing `28` by `2`.

`(y−2)=14`

Lastly, we can now remove the remaining `2`, by adding it to `14`.

`y=16`

Therefore, `y=16`.

We can double check this by subbing in `y=16` into the original equation.

`(2(y−2))/4+7=14`

`(2(16−2))/4+7=14`

`(2(14))/4+7=14`

`28/4+7=14`

`7+7=14`

`14=14`

After subbing in `y=16`, we can conclude that `y` does in fact, equal `16`.

Hope this helps :)