2Kx+3Ky+y+6=0

Solution for 2Kx+3Ky+y+6=0 equation:

Simplifying
2Kx + 3Ky + y + 6 = 0

Reorder the terms:
6 + 2xK + y + 3yK = 0

Solving
6 + 2xK + y + 3yK = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + 2xK + y + -6 + 3yK = 0 + -6

Reorder the terms:
6 + -6 + 2xK + y + 3yK = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2xK + y + 3yK = 0 + -6
2xK + y + 3yK = 0 + -6

Combine like terms: 0 + -6 = -6
2xK + y + 3yK = -6

Add '-1y' to each side of the equation.
2xK + y + -1y + 3yK = -6 + -1y

Combine like terms: y + -1y = 0
2xK + 0 + 3yK = -6 + -1y
2xK + 3yK = -6 + -1y

Add '-3yK' to each side of the equation.
2xK + 3yK + -3yK = -6 + -1y + -3yK

Combine like terms: 3yK + -3yK = 0
2xK + 0 = -6 + -1y + -3yK
2xK = -6 + -1y + -3yK

Divide each side by '2K'.
x = -3K-1 + -0.5yK-1 + -1.5y

Simplifying
x = -3K-1 + -0.5yK-1 + -1.5y

Reorder the terms:
x = -3K-1 + -1.5y + -0.5yK-1