Question

|4y| - 3 = 16
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.

Explanation:

Step1: Isolate the absolute value

Add 3 to both sides of the equation \(|4y| - 3 = 16\) to get \(|4y|=16 + 3\).
So, \(|4y|=19\).

Step2: Solve for y

The absolute value equation \(|a| = b\) (where \(b\geq0\)) has solutions \(a = b\) or \(a=-b\).
For \(|4y| = 19\), we have two cases:
Case 1: \(4y=19\), then divide both sides by 4: \(y=\frac{19}{4}\).
Case 2: \(4y=- 19\), then divide both sides by 4: \(y =-\frac{19}{4}\).

Answer:

\(\frac{19}{4},-\frac{19}{4}\)