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Simplifying 0 = -1(3x + -2y) + -1[(2x + -3y) + -1(2x + -3y)] 0 = (3x * -1 + -2y * -1) + -1[(2x + -3y) + -1(2x + -3y)] 0 = (-3x + 2y) + -1[(2x + -3y) + -1(2x + -3y)] Remove parenthesis around (2x + -3y) 0 = -3x + 2y + -1[2x + -3y + -1(2x + -3y)] 0 = -3x + 2y + -1[2x + -3y + (2x * -1 + -3y * -1)] 0 = -3x + 2y + -1[2x + -3y + (-2x + 3y)] Reorder the terms: 0 = -3x + 2y + -1[2x + -2x + -3y + 3y] Combine like terms: 2x + -2x = 0 0 = -3x + 2y + -1[0 + -3y + 3y] 0 = -3x + 2y + -1[-3y + 3y] Combine like terms: -3y + 3y = 0 0 = -3x + 2y + -1[0] Multiply -1 * 0 0 = -3x + 2y + 0 Anything times zero is zero. 0 = -3x + 2y + 0 Reorder the terms: 0 = 0 + -3x + 2y Remove the zero: 0 = -3x + 2y Solving 0 = -3x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0 + 3x = -3x + 3x + 2y Remove the zero: 3x = -3x + 3x + 2y Combine like terms: -3x + 3x = 0 3x = 0 + 2y 3x = 2y Divide each side by '3'. x = 0.6666666667y Simplifying x = 0.6666666667y
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