1. **Problem Statement:** We have a triangle with two equal sides labeled $2y$ and the angle between these sides is $44^\circ$. We need to find the value of $y$. 2. **Understanding the Triangle:** Since two sides are equal, the triangle is isosceles. The angles opposite these equal sides are also equal. 3. **Sum of Angles in a Triangle:** The sum of all interior angles in any triangle is $180^\circ$. 4. **Calculate the Other Angles:** Let each of the equal angles be $x$. Then: $$44^\circ + x + x = 180^\circ$$ $$44^\circ + 2x = 180^\circ$$ 5. **Solve for $x$:** $$2x = 180^\circ - 44^\circ = 136^\circ$$ $$x = \frac{136^\circ}{2} = 68^\circ$$ 6. **Relate $x$ to $y$:** The sides are labeled $2y$, but the problem only asks for $y$ in degrees, which suggests $y$ is the measure of the equal angles divided by 2 (since the sides are $2y$ and the angles are $x$). Given the labeling, the value of $y$ corresponds to the angle measure divided by 2: $$y = 68^\circ$$ **Final answer:** $$y = 68^\circ$$