Solve the absolute value equation. $$ |y|+3=-3 $$

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UpStudy AI · Accepted Answer

To solve the absolute value equation:

$$
|y| + 3 = -3
$$

Let's analyze it step by step.

1. **Understand the Absolute Value Property:**
   
   The absolute value of any real number $$ y $$ is always non-negative. This means:
   
   $$
   |y| \geq 0
   $$
   
2. **Isolate the Absolute Value:**
   
   Subtract 3 from both sides of the equation:
   
   $$
   |y| = -3 - 3 \
   |y| = -6
   $$
   
3. **Analyze the Result:**
   
   The equation $$ |y| = -6 $$ suggests that the absolute value of $$ y $$ is a negative number. However, this is impossible because absolute values cannot be negative. Therefore, there is no real number $$ y $$ that satisfies this equation.

**Conclusion:**  
There are **no solutions** to the equation $$ |y| + 3 = -3 $$.
There are no solutions to the equation $$ |y| + 3 = -3 $$.

Solve the absolute value equation.

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