Question

Solve for yy.
minus, 9, minus, start fraction, 7, divided by, 11, end fraction, y, equals, 19
−9−
11
7
​
y=
19

Answer 1

To solve the equation \(-9 - \frac{7}{11} y = 19\), we can follow these steps:

1. **Isolate the term with \(y\)**:
\[
-\frac{7}{11} y = 19 + 9
\]
Simplifying the right-hand side:
\[
19 + 9 = 28
\]
So, we have:
\[
-\frac{7}{11} y = 28
\]

2. **Multiply both sides by \(-1\)** to get rid of the negative sign:
\[
\frac{7}{11} y = -28
\]

3. **Multiply both sides by the reciprocal of \(\frac{7}{11}\)**, which is \(\frac{11}{7}\):
\[
y = -28 \cdot \frac{11}{7}
\]

4. **Calculate the right side**:
\[
y = -28 \cdot \frac{11}{7} = -4 \cdot 11 = -44
\]

Thus, the solution is:
\[
\boxed{-44}
\]