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Simplifying 0 = 3[4y + -2(x + 3) + (2 + -1y)] Reorder the terms: 0 = 3[4y + -2(3 + x) + (2 + -1y)] 0 = 3[4y + (3 * -2 + x * -2) + (2 + -1y)] 0 = 3[4y + (-6 + -2x) + (2 + -1y)] Remove parenthesis around (2 + -1y) 0 = 3[4y + -6 + -2x + 2 + -1y] Reorder the terms: 0 = 3[-6 + 2 + -2x + 4y + -1y] Combine like terms: -6 + 2 = -4 0 = 3[-4 + -2x + 4y + -1y] Combine like terms: 4y + -1y = 3y 0 = 3[-4 + -2x + 3y] 0 = [-4 * 3 + -2x * 3 + 3y * 3] 0 = [-12 + -6x + 9y] Solving 0 = -12 + -6x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 0 + 6x = -12 + -6x + 6x + 9y Remove the zero: 6x = -12 + -6x + 6x + 9y Combine like terms: -6x + 6x = 0 6x = -12 + 0 + 9y 6x = -12 + 9y Divide each side by '6'. x = -2 + 1.5y Simplifying x = -2 + 1.5y
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