State whether the following equations are true for the given values of the variables.
`y-11=-4` for `y =6`

Answer

To determine whether the equation \( y - 11 = -4 \) is true for \( y = 6 \), we will follow these steps:

### Step 1: Substitute the value of \( y \)
We start by substituting \( y = 6 \) into the equation \( y - 11 = -4 \).

\[ 6 - 11 = -4 \]

### Step 2: Calculate the left-hand side (LHS)
Now, we calculate the left-hand side of the equation:

\[ 6 - 11 = -5 \]

### Step 3: Compare LHS with the right-hand side (RHS)
The right-hand side of the equation is \(-4\). Now we compare:

\[ -5 \neq -4 \]

### Step 4: Conclusion
Since the left-hand side does not equal the right-hand side, we conclude that the equation is false for \( y = 6 \).

Thus, the statement is **false**.

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