To solve the equation x + 1 * y + 1 = 8, we need to isolate one variable.

First, let's distribute the multiplication:

x + y + 1 = 8

Next, let's subtract 1 from both sides to move the constant term to the other side of the equation:

x + y = 8 - 1

x + y = 7

Now, the equation is in the form x + y = 7. This equation represents a line in the xy-plane. To find the solutions, we can choose any value for x and solve for y, or vice versa.

For example, if we choose x = 0, we can solve for y:

0 + y = 7

y = 7

So, one solution to the equation is (0, 7).

Similarly, if we choose y = 0, we can solve for x:

x + 0 = 7

x = 7

So, another solution to the equation is (7, 0).

Therefore, the equation x + 1 * y + 1 = 8 has infinitely many solutions, and two of them are (0, 7) and (7, 0).