Question

Solve |2y - 2| = y.

Answer 1

solve for y in

2y - 2 = y

AND

2y - 2 = -y

Answer 2

when 2y - 2 = y

you subtract y to both sides

2y - y - 2 = 0

now add 2 to both sides

2y - y = 2

now simplify that

Answer 3

just do the same for 2y - 2 = -y

Answer 4

@lgbasallote

I think it would be better to explain it as

|2y - 2| = y
represents

-2y + 2 = y
and
2y - 2 = y

Answer 5

I know it is the same thing

Answer 6

it's easier to remember if y is the only sign that changes right? instead of 2y - 2 becoming -2y + 2 where two signs were changed ;)

Answer 7

depends on the person anyway

Answer 8

that is true, I just feel like the -y is just an extra step to someone who is learning this but oh well