Question 1073174: |5y-2| = |4y+7|
Can someone please solve this for me, step by step? I have no idea what I'm doing. Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website! Either the signs of the values of 5y-2 and 4y+7 are the same or they are opposite. Solve for BOTH cases, and test if either of the results does or does not work in the original equation.
1) Drop absolute-value bars and solve like you do any regular equation.
You should get:
2) Drop absolute-value bars on RIGHT side, and NEGATE LEFT-SIDE, or drop absolute-value bars on LEFT side, and NEGATE RIGHT-SIDE.
Solve to get: