Let's simplify and solve the given equation:

\[
-9x + 7y - 8y = -37
\]

First, combine like terms for \(y\):

\[
-9x + (7y - 8y) = -9x - y = -37
\]

Now, we have the simplified equation:

\[
-9x - y = -37
\]

To solve for \(y\), isolate \(y\):

\[
- y = -37 + 9x
\]

Multiply through by \(-1\) to get:

\[
y = 37 - 9x
\]

This is the solution in terms of \(x\). 

Do you have any questions or would you like further details? 

Here are 5 related questions to expand on this:

1. How do we graph the equation \(y = 37 - 9x\)?
2. What is the slope and y-intercept of the equation \(y = 37 - 9x\)?
3. How can we rewrite the equation in standard form?
4. If \(x = 4\), what is the value of \(y\) in the equation?
5. What happens if we substitute \(x = 0\) into the equation?

**Tip:** When combining like terms, carefully align terms with the same variable to simplify accurately.

Learn how to solve the linear equation -9x + 7y - 8y = -37 with a step-by-step solution. This problem involves simplifying expressions, combining like terms, and solving for y in terms of x. Ideal for students in Grades 8-10.

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