2xy-3y+6=0

Solution for 2xy-3y+6=0 equation:

Simplifying
2xy + -3y + 6 = 0

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

Solving
6 + 2xy + -3y = 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 + 2xy + -6 + -3y = 0 + -6

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

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

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

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

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

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

Simplifying
x = -3y-1 + 1.5

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