Question 48058
Question #1. -4(3-x)=2(x+6) 
Distribute the -4, meaning -4 multiplied by 3, and -4 multiplied by -x.
Also distribute the 2, meaning 2 multipplied by x and 2 multiplied by 6.
So far, it should look like this:

-12+4x=2x+12

The next step is moving the 2x to the left, making it a negative.

-12+4x=2x+12
      -2x

The 2x cancels out on the right, and you add or subtract it to the 4x on the left. In this case, you'll be subtracting it because 4x is positive -2x is negative--remember, opposite signs, you subtract. So now your equation should look like this:

-12+2x=12

Now move the -12 to the right, because remember, you want to isolate 2x. It becomes a positive, so you add it to the right side. It should now look like this:

2x=24

Divide by 2 to isolate the x.

x=12


Question #2. 5x+4y=6
You want to isolate y, so you'll have an equation saying y = x+6 (just an example). 

Move the 5x to the right side, becoming a negative. It should look like this:
4y=-5x+6

In order to get rid of the 4 on the left, divide by 4. Yes, you'll get a fraction. It looks like this:

y=-5/4x+3/2


Question #3. -2x-3y=-1 
Isolate the y. Start by moving the -2x to the right.
-3y=2x-1

Then divide by -3:

y=-2/3x+1/3