We propose a structural and combinatorial proof of the Goldbach Conjecture, asserting that every even integer greater than two can be written as the sum of two primes. The approach introduces a dual-layer framework. First, we quantify the number of composite pairs that could obstruct the formation of valid Goldbach partitions by systematically classifying and eliminating non-prime candidates arising from non-divisor prime multiplicities. This quantitative asymmetry reveals that the available prime candidates on the complementary side of the partition always outnumber the obstructive composites. Second, we introduce a structural decomposition that constructs prime complements from non-divisor primes and rigorously shows that these complements cannot be fully covered by composite multiples of the base primes. As a result, at least one uncovered and irreducible complement must be a prime, guaranteeing the existence of a valid prime pair. This hybrid method bridges enumerative and structural perspectives, providing an elementary yet rigorous proof route that avoids traditional analytic machinery and reveals inherent prime-generating asymmetries within the even number structure.