Logic Masters Deutschland e.V.

This was originally created for the Yin Yang Journey puzzle pack. Links to previous puzzles in the pack are below:
Go Yin Yang
Through the Caverns
Sandwich Break
Staircase Serpent
Roman Negativity
Into Chaos
At Odds with Where to Go

Rules:

Within each grid, normal 6x6 Sudoku rules apply.

Twin Yin Yang: Within each grid, shade some cells such that all shaded cells are orthogonally connected, all unshaded cells are orthogonally connected, and no 2x2 area is fully shaded or fully unshaded. The shading pattern must be identical between the two grids.

For each pair of cages with the same relative position in their respective grid, digits in that cage must sum to the same value. If a number is given in the top left corner of the cage, then that is the value the digits must sum to. If no number is given, the value is unknown, but must be the same between the two grids.

In the left grid, digits in shaded cells count as double their value for the purpose of cage sums. In the right grid, digits in shaded cells count as half their value for the purpose of cage sums.