Answer
All real numbers
Please see the graph.
Work Step by Step
The graph was made using graphing software.
$y = x+1$
$2x-2y =-2$
$2x-2*(x+1) = -2$
$2x - 2x - 2 = -2$
$-2 = -2$ (true for all values of x)
Since this is true for all values of x, the two lines are the same.