Question 4 - A-Level Maths

Solve the equation \(| 2 x - 5 | = | x + 6 |\).
Hence find the value of \(y\) such that \(\left| 2 ^ { 1 - y } - 5 \right| = \left| 2 ^ { - y } + 6 \right|\). Give your answer correct to 3 significant figures.