4x+2y=-6? solve for y? Show work?

4x + 2y = -6
4x + 2y + 6 = 0
2 (2x + y + 3) = 0 <-- take common factor, that is 2
2 (2x + y + 3) / 2 = 0 / 2 <-- both sides are divided by 2
2x + y + 3 = 0
y = -2x - 3

on the grounds that 4x+2y = 12 and x+2y = 6 Do an uncomplicated subtraction 4x+2y-x-2y = 6 (12-6) the 2y's cancel one yet another out 4x-x = 6 3x = x x = 2 plug this into the two equation 2+2y = 6 / 8+2y = 12 2y = 6-2 / 2y = 12-8 2y = 4 / 2y = 4 y =2 / y = 2

4x+2y=-6
2y = -4x-6
y = -2x-3

4x + 2y = -6
=> 2y = -6 - 4x
=> y = ( -6 - 4x ) / 2
=> y = - ( 3 - 2x)
Answer

4x+2y=-6
-4x -4x
2y=-6-4x
/2 /2
y=-6/2 - 4x/2
y= -3 -2x or y=-2x-3
Full Work included

2x + y = - 3

y = - 2x - 3