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Simplifying 4(x + -1y) + -2[y + -3(2x)] = 0 (x * 4 + -1y * 4) + -2[y + -3(2x)] = 0 (4x + -4y) + -2[y + -3(2x)] = 0 Remove parenthesis around (2x) 4x + -4y + -2[y + -3 * 2x] = 0 Multiply -3 * 2 4x + -4y + -2[y + -6x] = 0 Reorder the terms: 4x + -4y + -2[-6x + y] = 0 4x + -4y + [-6x * -2 + y * -2] = 0 4x + -4y + [12x + -2y] = 0 Reorder the terms: 4x + 12x + -4y + -2y = 0 Combine like terms: 4x + 12x = 16x 16x + -4y + -2y = 0 Combine like terms: -4y + -2y = -6y 16x + -6y = 0 Solving 16x + -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. 16x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 16x + 0 = 0 + 6y 16x = 0 + 6y Remove the zero: 16x = 6y Divide each side by '16'. x = 0.375y Simplifying x = 0.375y
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