*y*+8| + 2 = 6.

*y*+8| instead of [

*y*+8] with square brackets), I mean the absolute value. If you did not mean this, then ignore what I'm about to write!

*y*+8|, we mean the absolute value of y+8. Roughly, we mean only "how big"

*y*+8 is, not whether it's positive or negative. For example, |-3| = 3 = |3|; the absolute value of negative 3 is the same as the absolute value of positive 3 (they're both 3).

*y*+8| + 2 = 6, then

*y*+8 = ±4

*y*+8, plus 2, equals 6, then

*y*+8 equals plus or minus 4"). That's why the minus sign is under the plus sign, it could be positive or negative 4.

*x|*= 3, then all we could say is

*x*= ±3. That is,

*x*= 3 and

*x*= -3 are both solutions to the equation |x| = 3. We can only play this game once we get the stuff inside the absolute values by itself. In this case, we can use regular algebra to get there:

*y*+8 = ±4, so that the statement is true.