Levi Baphomet's
right hand = right hand side - solve - chesed side - pillar of mercy - waxing moon;
left hand = left hand side - coagula - gevurah side - pillar of severity - waning moon.
By reversing image Baphomet appears then as image in mirror (to match standard ToL diagram), rather than a figure facing you.
aBy flipping you are viewing Baphomet as in a mirror, the arm on the right is still the right solve arm (not the left), the arm on left is the left coagula arm (not the right)
I am not sure about the position of the thumbs, because the right hand is at an angle to the viewer and the left is palm facing the viewer, it may be the hand shapes are the same, the right may look closed but because it is at an angle the extended thumb is pointing towards you, may appear closed but is a trick of perspective ? Levi says that both hands form the same sign, the sign of occultism.
That the Devil's/Baphomet's right hand (pointing upwards) belongs to the Chesed and the right-hand side, pillar of mercy, and the left hand (pointing downwards) belongs to the sphere of Gevurah and the left hand side, pillar of severity, is clear from Levi's own description:
“The goat which is represented in our frontispiece bears upon its forehead the Sign of the Pentagram with one point in the ascendant, which is sufficient to distinguish it as a symbol of the light. Moreover, the sign of occultism is made with both hands, pointing upward to the white moon of CHESED, and downward to the black moon of GEBURAH. This sign expresses the perfect concord between mercy and justice. One of the arms is feminine and the other masculine, as in the androgyne of Khunrath, whose attributes we have combined with those of our goat, since they are one and the same symbol. The torch of intelligence burning between the horns is the magical light of universal equilibrium; it is also a type of the soul exalted above matter, even while cleaving to matter, as the flame cleaves to the torch. … The caduceus, which replaces the generative organ, represents eternal life; the scale-covered belly typifies water; the circle above it is the atmosphere, the feathers still higher up signify the volatile; lastly, humanity is depicted by the two breasts and the androgyne arms of this sphinx of the occult sciences. … The dread Baphomet henceforth, like all monstrous idols, enigmas of antique science and its dreams, is only an innocent and even pious hieroglyph.”
Of Solve and Coagula:
"To have control over the Great Magical Agent there are two operations necessary--to concentrate and project, or, in other words, to fix and to move.”