Question 638955
To solve for Y, we have to get Y by itself on one side of our equal sign.  So, for 3x + 4y + 12 = 0, first we can subtract 12 from both sides of our equal sign:
3x + 4y + 12 - 12 = 0 - 12, giving us

3x + 4y = -12

Next, we can subtract 3x from both sides of our equal sign:  3x - 3x + 4y = -12 - 3x, giving us

4y = -12 - 3x

Finally, we can get the y by itself by dividing both sides by 4:

{{{4y/4 = (-12 - 3x)/4}}}

This leaves us with

{{{y = (-12 - 3x)/4}}}

The right side of our equal sign can be simplified, because we know that

{{{(-12 - 3x)/4}}} is the same thing as {{{-(12/4) - 3x/4}}}

Reducing this down results in our final answer

Final Answer: {{{y = -3 - 3x/4}}}