Simplifying 6x + 6y = 0 Solving 6x + 6y = 0 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. 6x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 6x + 0 = 0 + -6y 6x = 0 + -6y Remove the zero: 6x = -6y Divide each side by '6'. x = -1y Simplifying x = -1y