Solve for y*y*.

minus, 3, equals, minus, 11, minus, start fraction, y, divided by, 11, end fraction

−3=

−11−11*y*​


To solve the equation:

\[
-3 = -11 - \frac{y}{11}
\]

We will isolate \( y \) step by step.

### Step 1: Eliminate the constant on the right side
Add 11 to both sides to remove the \(-11\) from the right:

\[
-3 + 11 = - \frac{y}{11}
\]

\[
8 = - \frac{y}{11}
\]

### Step 2: Eliminate the fraction
Multiply both sides of the equation by \(-11\) to eliminate the denominator:

\[
8 \times (-11) = y
\]

\[
y = -88
\]

### Solution:
The value of \( y \) is:

\[
y = -88
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you isolate the variable in a linear equation?
2. What is the process for solving equations involving fractions?
3. Can equations have negative solutions, and how does that affect the solution process?
4. How can you check if your solution is correct by substitution?
5. What are some common mistakes when solving linear equations?

**Tip:** Always double-check your solution by substituting it back into the original equation.

Learn how to solve a linear equation with fractions, specifically −3 = −11 − y/11, in this step-by-step guide. This problem involves key algebraic concepts such as isolating variables, eliminating fractions, and applying inverse operations. Suitable for students in Grades 7-9.

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