Question

How do you graph and solve `6 - | 3y - 2 | = 10`?

Answer 1

There can be no graph for this "equation" because it has no valid solutions.

Explanation:

Since the absolute value of anything `>=0`
`abs(3y-2) >=0`

`rarr 6-abs(3y-2) <=6`

Therefore
`color(White)("XXX")6-abs(3y-2)` can not be equal to `10`

I suppose for a graph, you could draw the X and Y axis and not put anything on the Cartesian Plane they define (or draw a number line for `y` with no points selected on it).