can someone explain to me how -y=-|x|+2 turns into y=|x|-2
Hi wonderd,
you may add y to both sides
$\displaystyle -y=-|x|+2$
$\displaystyle y-y=y-|x|+2$
$\displaystyle 0=y-|x|+2$
add |x| to both sides
$\displaystyle |x|=y+|x|-|x|+2$
$\displaystyle |x|=y+2$
subtract 2 from both sides
$\displaystyle |x|-2=y+2-2,\ |x|-2=y$
It's much quicker to multiply both sides by -1
or divide both sides by -1, but it helps to know how to juggle.