Question

How do you solve `abs(2y+7)=7`?

Answer 1

As the absolute value of `2y+7=7`, then `2y+7=+-7`, as abs(), takes the magnitude of the number, whether its positive or negative, abs(), makes it positive.

So, either `2y+7=7`, or `2y+7=-7`

Let's solve `2y+7=7` first:
We take 7 from both sides first- `2y+7-color(red)(7)=7-color(red)(7)-=2y=0`

Then we divide both sides by 2 - `(2y)/color(red)(2)=0/color(red)(2)-=y=0`

Now, let's solve for `2y+7=-7`:
We take 7 from both sides first- `2y+7-color(red)(7)=-7-color(red)(7)-=2y=-14`

Then we divide both sides by 2 - `(2y)/color(red)(2)=-14/color(red)(2)-=y=-7`