Question

Solve -4x+2y=-12 for y
Make sure the answer is in simplified form.

Answer 1

To solve the equation \(-4x + 2y = -12\) for \(y\), follow these steps:

1. Start with the original equation:
\[
-4x + 2y = -12
\]

2. Add \(4x\) to both sides to isolate the terms with \(y\):
\[
2y = 4x - 12
\]

3. Next, divide every term by \(2\) to solve for \(y\):
\[
y = \frac{4x}{2} - \frac{12}{2}
\]

4. Simplify the fractions:
\[
y = 2x - 6
\]

The equation solved for \(y\) in simplified form is:
\[
y = 2x - 6
\]