Draw the graph of `x+ |y|=2y` and check the differentiability.

Explanation

To solve the problem of drawing the graph of the equation \( x + |y| = 2y \) and checking its differentiability, we will follow these steps:

### Step 1: Rewrite the equation based on the definition of absolute value
The absolute value function \( |y| \) can be defined piecewise:
- If \( y \geq 0 \), then \( |y| = y \).
- If \( y < 0 \), then \( |y| = -y \).

### Step 2: Analyze the two cases for \( y \)
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