Geometric triangle diagram showing angles and labeled points.

Problem Analysis:

The given image shows a geometric figure with several labeled angles and points. The task is to find the value of the angle marked as \( y \). Let's break down the problem step by step.

#### Key Information from the Image:
1. \( \angle BAC = 62^\circ \)
2. \( \angle CED = 28^\circ \)
3. Points \( A, B, C, D, E, F \) are connected in a specific manner.
4. We need to determine the value of \( y \), which is the angle at point \( A \) formed by the lines \( AB \) and \( AC \).

#### Observations:
- The angle \( y \) is part of the triangle \( \triangle ABC \).
- The angle \( \angle CED = 28^\circ \) is an exterior angle to the triangle \( \triangle CDE \).
- The relationship between the angles in a triangle and the exterior angles will be crucial.

Step-by-Step Solution:

#### Step 1: Identify the Relationship Between Angles
The angle \( \angle CED = 28^\circ \) is an exterior angle to \( \triangle CDE \). According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. Therefore:
\[
\angle CED = \angle DCE + \angle CDE
\]
However, we do not have enough information about \( \angle DCE \) or \( \angle CDE \) directly. Instead, we focus on the triangle \( \triangle ABC \).

#### Step 2: Use the Triangle Angle Sum Property
In \( \triangle ABC \), the sum of the interior angles is always \( 180^\circ \). The angles in \( \triangle ABC \) are:
- \( \angle BAC = 62^\circ \)
- \( \angle ABC \) (which we need to find or relate)
- \( \angle ACB \) (which we can express in terms of other angles)

#### Step 3: Relate \( y \) to the Given Angles
The angle \( y \) is the same as \( \angle BAC \) because it is the angle at point \( A \) formed by the lines \( AB \) and \( AC \). Therefore:
\[
y = \angle BAC = 62^\circ
\]

#### Step 4: Verify the Consistency
The angle \( \angle CED = 28^\circ \) does not directly affect the value of \( y \) in this context because it is part of a separate triangle \( \triangle CDE \) and does not influence the angles in \( \triangle ABC \) unless additional relationships are provided. Since no such relationships are given, we conclude that \( y \) is simply the given angle \( \angle BAC \).

Final Answer:

\[
\boxed{62}
\]