Work Step by Step
The absolute value of $x,$ written as $|x|,$ is the distance of $x$ from $0.$ Since it is a distance, then it is a nonnegative number. In the same way, the left side of the given, $ |7-2y|\lt-8 ,$ is always a nonnegative number. This will never be less than the negative value at the right. Hence, there is no solution.