(2)
両辺を3乗すると
 (y+1) - (y-1) - 3(yy-1)^(1/3){(y+1)^(1/3) - (y-1)^(1/3)} = 1^3,
 2 - 3(yy-1)^(1/3) = 1,
 (yy-1)^(1/3) = 1/3,
 yy - 1 = 1/(3^3) = 1/27,
 y = ±√(28/27) = (2/9)√21,