Question

solve for all values of y in simplest form.
|4y| = 28

Explanation:

Step1: Recall absolute value definition

The absolute value equation \(|a| = b\) (where \(b\geq0\)) means \(a = b\) or \(a=-b\). So for \(|4y| = 28\), we have two cases: \(4y = 28\) or \(4y=-28\).

Step2: Solve \(4y = 28\)

Divide both sides by 4: \(y=\frac{28}{4}=7\).

Step3: Solve \(4y=-28\)

Divide both sides by 4: \(y=\frac{-28}{4}=-7\).

Answer:

\(y = 7\) or \(y=-7\)