Question

negative 4 y plus 10 equals negative 2 left parenthesis 3 y plus 4 right parenthesis

Answer 1

Let's solve the equation step by step:

The equation is:

\[
-4y + 10 = -2(3y + 4)
\]

First, distribute \(-2\) on the right side:

\[
-4y + 10 = -2 \cdot 3y - 2 \cdot 4
\]
\[
-4y + 10 = -6y - 8
\]

Next, we want to isolate \(y\). We'll first move all terms involving \(y\) to one side and constant terms to the other side. Let's add \(6y\) to both sides:

\[
-4y + 6y + 10 = -8
\]
\[
2y + 10 = -8
\]

Now, subtract \(10\) from both sides:

\[
2y = -8 - 10
\]
\[
2y = -18
\]

Next, divide both sides by \(2\):

\[
y = \frac{-18}{2}
\]
\[
y = -9
\]

The solution is:

\[
y = -9
\]