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Simplifying 2[2(x + y) + -6(3x + -2y)] = 0 2[(x * 2 + y * 2) + -6(3x + -2y)] = 0 2[(2x + 2y) + -6(3x + -2y)] = 0 2[2x + 2y + (3x * -6 + -2y * -6)] = 0 2[2x + 2y + (-18x + 12y)] = 0 Reorder the terms: 2[2x + -18x + 2y + 12y] = 0 Combine like terms: 2x + -18x = -16x 2[-16x + 2y + 12y] = 0 Combine like terms: 2y + 12y = 14y 2[-16x + 14y] = 0 [-16x * 2 + 14y * 2] = 0 [-32x + 28y] = 0 Solving -32x + 28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28y' to each side of the equation. -32x + 28y + -28y = 0 + -28y Combine like terms: 28y + -28y = 0 -32x + 0 = 0 + -28y -32x = 0 + -28y Remove the zero: -32x = -28y Divide each side by '-32'. x = 0.875y Simplifying x = 0.875y
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