Solve the following equation

|-4y|=-8

Solve for y

|-4y| = -8

Absolute Value Equations

Since this is an absolute value equation
Setup two equations

Solve Equation 1 → -4y = -8

Divide each side of absolute value equation 1 by -4

Keep our =

-4y
-4
=
  
-8
-4

Solution to absolute value equation 1 is

y = 2

Solve Equation 2 → -4y = 8

Divide each side of absolute value equation 2 by -4

Keep our =

-4y
-4
=
  
8
-4

Solution to absolute value equation 2 is

y = -2