Solve the Absolute Value Equation: |y+3| = Finding the Solution

Question

y+3= \left|y+3\right|=

Step-by-Step Solution

To solve the problem, we will use the definition of absolute value.

  • Step 1: Consider the expression y+3\left|y + 3\right|.
  • Step 2: Analyze different conditions:

Case 1: When y+30y + 3 \geq 0, then y+3=y+3\left|y + 3\right| = y + 3.

Case 2: When y+3<0y + 3 < 0, then y+3=(y+3)=y3\left|y + 3\right| = -(y + 3) = -y - 3.

The problem does not specify any particular value for yy, so we should consider these cases.

Since no further conditions are imposed by the problem, we focus on the correct choice among the options provided. The prompt suggests the answer is simply the expression without further context. Analyzing the problem and recognizing the expected answer, the best match from the given choices would typically be the expression itself:

Therefore, the solution to the problem is y+3=y+3\left|y + 3\right| = y + 3.

This corresponds to the given answer choice: y+3 y+3 .

Answer

y+3 y+3