Answer:
[tex]y=8+12x[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3x-\frac{1}{4}y=-2[/tex]
And we want to solve the equation for y.
To do so, we need to isolate the y-variable.
So, subtract 3x from both sides:
[tex](3x-\frac{1}{4}y)-3x=(-2)-3x[/tex]
On the left, the terms cancel:
[tex]-\frac{1}{4}y=-2-3x[/tex]
To isolate the left, multiply both sides by -4 (the reciprocal of -1/4):
[tex]-4(-\frac{1}{4}y)=-4(-2-3x)[/tex]
The left cancel:
[tex]y=-4(-2-3x)[/tex]
On the right, distribute:
[tex]y=8+12x[/tex]
And we are done.
