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Simplifying 2[2(x + y) + -3(6x + -6y)] = 0 2[(x * 2 + y * 2) + -3(6x + -6y)] = 0 2[(2x + 2y) + -3(6x + -6y)] = 0 2[2x + 2y + (6x * -3 + -6y * -3)] = 0 2[2x + 2y + (-18x + 18y)] = 0 Reorder the terms: 2[2x + -18x + 2y + 18y] = 0 Combine like terms: 2x + -18x = -16x 2[-16x + 2y + 18y] = 0 Combine like terms: 2y + 18y = 20y 2[-16x + 20y] = 0 [-16x * 2 + 20y * 2] = 0 [-32x + 40y] = 0 Solving -32x + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. -32x + 40y + -40y = 0 + -40y Combine like terms: 40y + -40y = 0 -32x + 0 = 0 + -40y -32x = 0 + -40y Remove the zero: -32x = -40y Divide each side by '-32'. x = 1.25y Simplifying x = 1.25y
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