To solve for y, we need to isolate the term containing y by performing operations on both sides of the equation.
Starting with the given equation:
3x + (1/2)y = -4
First, let's get rid of the coefficient of y, which is 1/2. We can do this by multiplying the entire equation by 2:
2 * (3x + (1/2)y) = 2 * (-4)
This gives us:
6x + y = -8
Next, to isolate y, we can move 6x to the other side of the equation by subtracting 6x from both sides:
6x + y - 6x = -8 - 6x
Simplifying this, we have:
y = -8 - 6x
Therefore, the equation to solve for y is:
y = -8 - 6x