Solve the equation.

negative left parenthesis 3 y plus 9 right parenthesis minus left parenthesis negative 2 y plus 2 right parenthesis equals negative 6
Question content area bottom
Part 1
A.13
13
B.17
17
C.negative 5
negative 5
D.5
5

1 answer

Let's solve the equation step-by-step.

The equation given is:

\[ -(3y + 9) - (-2y + 2) = -6 \]

First, distribute the negative signs:

\[ -3y - 9 + 2y - 2 = -6 \]

Now, combine like terms:

\[ (-3y + 2y) + (-9 - 2) = -6 \]

This simplifies to:

\[ -y - 11 = -6 \]

Next, isolate \(y\) by adding 11 to both sides:

\[ -y = -6 + 11 \]

This simplifies to:

\[ -y = 5 \]

Now, multiply both sides by -1:

\[ y = -5 \]

Thus, the solution to the equation is:

\[ \boxed{-5} \]

The correct answer is C. \(-5\).