Question

what is the value of y?

Explanation:

Step1: Set up the equation

Since \(MB\) is the perpendicular bisector of \(JK\), \(MJ = MK\). So, \(16y - 48=4y\).

Step2: Solve the equation for \(y\)

Subtract \(4y\) from both sides: \(16y-4y - 48=4y - 4y\), which gives \(12y-48 = 0\).
Add \(48\) to both sides: \(12y-48 + 48=0 + 48\), so \(12y=48\).
Divide both sides by \(12\): \(y=\frac{48}{12}\).

Answer:

\(y = 4\)