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We are given the following system of equations to solve for \( y \):

\[
6y + x = -59
\]
\[
x = -2y + 9
\]

### Step 1: Substitution
Since \( x = -2y + 9 \), we can substitute this expression for \( x \) into the first equation \( 6y + x = -59 \).

\[
6y + (-2y + 9) = -59
\]

### Step 2: Simplify the equation
Simplify the left-hand side:

\[
6y - 2y + 9 = -59
\]

\[
4y + 9 = -59
\]

### Step 3: Solve for \( y \)
Now, solve for \( y \):

\[
4y = -59 - 9
\]

\[
4y = -68
\]

\[
y = \frac{-68}{4}
\]

\[
y = -17
\]

Thus, the value of \( y \) is \( \boxed{-17} \).

### Answer: \( B \)

Would you like further clarification or details on any steps?

Here are 5 related questions for further practice:
1. What is the value of \( x \) once \( y \) is known?
2. How would the solution change if \( x = 2y - 9 \) instead?
3. What happens if both equations were multiplied by a constant before solving?
4. Can this system be solved using the elimination method?
5. How do you graphically interpret the solution of this system?

**Tip:** When solving a system of equations, substitution works best when one variable is easily isolated in one of the equations.

Mrs. Flores asked her students to solve the following system of equations:
6y + x = -59 and x = -2y + 9.
What is the value of y in the solution to the system of equations?

Learn how to solve the system of equations 6y + x = -59 and x = -2y + 9 using the substitution method. The detailed step-by-step solution demonstrates how to find the value of y. Suitable for students in Grades 8-10.

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