-2x(7+3y)+6y=6

Solution for -2x(7+3y)+6y=6 equation:

Simplifying
-2x(7 + 3y) + 6y = 6
(7 * -2x + 3y * -2x) + 6y = 6
(-14x + -6xy) + 6y = 6

Solving
-14x + -6xy + 6y = 6

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
-14x + -6xy + 6y + -6y = 6 + -6y

Combine like terms: 6y + -6y = 0
-14x + -6xy + 0 = 6 + -6y
-14x + -6xy = 6 + -6y

Reorder the terms:
-6 + -14x + -6xy + 6y = 6 + -6y + -6 + 6y

Reorder the terms:
-6 + -14x + -6xy + 6y = 6 + -6 + -6y + 6y

Combine like terms: 6 + -6 = 0
-6 + -14x + -6xy + 6y = 0 + -6y + 6y
-6 + -14x + -6xy + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
-6 + -14x + -6xy + 6y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -7x + -3xy + 3y) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -7x + -3xy + 3y)' equal to zero and attempt to solve:

Simplifying
-3 + -7x + -3xy + 3y = 0

Solving
-3 + -7x + -3xy + 3y = 0

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

Add '3' to each side of the equation.
-3 + -7x + -3xy + 3 + 3y = 0 + 3

Reorder the terms:
-3 + 3 + -7x + -3xy + 3y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7x + -3xy + 3y = 0 + 3
-7x + -3xy + 3y = 0 + 3

Combine like terms: 0 + 3 = 3
-7x + -3xy + 3y = 3

Add '-3y' to each side of the equation.
-7x + -3xy + 3y + -3y = 3 + -3y

Combine like terms: 3y + -3y = 0
-7x + -3xy + 0 = 3 + -3y
-7x + -3xy = 3 + -3y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.