Question

solve for all values of y in simplest form.
1 = |y + 15|

Explanation:

Step1: Recall absolute - value property

The equation \(1 = |y + 15|\) implies \(y+15 = 1\) or \(y + 15=-1\) since if \(|a|=b\) (\(b\geq0\)), then \(a = b\) or \(a=-b\).

Step2: Solve \(y+15 = 1\)

Subtract 15 from both sides: \(y=1 - 15\), so \(y=-14\).

Step3: Solve \(y + 15=-1\)

Subtract 15 from both sides: \(y=-1-15\), so \(y=-16\).

Answer:

\(y=-14\) or \(y = - 16\)