Question

8-|1-y|=7

Answer 1

8-1-y = 7 *absolute value sign removed
7-y = 7
-y=7-7
y=0

so there,, =)

Answer 2

The absolute value of a number is its'
distance from zero on the number line.
Therefore, the absolute value of 7 and
-7 is = 7. Your calculation is correct,
but 2 solutions are required to finish
the problem:

8 - [1 - y] = 7.
- [1 - y] = 7 - 8 = -1
[1 - y] = 1,
-(1 - y) = 1
-1 + y = 1
y = 2

Solution Set: y = 0 , y = 2.