Question

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

Answer 1

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. \(-5\).