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Simplifying 2[6x + -4(y + -1)] = 0 Reorder the terms: 2[6x + -4(-1 + y)] = 0 2[6x + (-1 * -4 + y * -4)] = 0 2[6x + (4 + -4y)] = 0 Reorder the terms: 2[4 + 6x + -4y] = 0 [4 * 2 + 6x * 2 + -4y * 2] = 0 [8 + 12x + -8y] = 0 Solving 8 + 12x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 12x + -8 + -8y = 0 + -8 Reorder the terms: 8 + -8 + 12x + -8y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 12x + -8y = 0 + -8 12x + -8y = 0 + -8 Combine like terms: 0 + -8 = -8 12x + -8y = -8 Add '8y' to each side of the equation. 12x + -8y + 8y = -8 + 8y Combine like terms: -8y + 8y = 0 12x + 0 = -8 + 8y 12x = -8 + 8y Divide each side by '12'. x = -0.6666666667 + 0.6666666667y Simplifying x = -0.6666666667 + 0.6666666667y
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