Say I have Slaking with "Lazy" as my Active Pokemon and my opponent has Wobbuffet with "Bide Barricade" as their Active Pokemon; also my opponent has Garbodor on the Bench and currently "Garbotoxin" is disabling all other Abilities. If I play Field Blower to discard the Pokemon Tool from Garbodor so "Garbotoxin" is no longer in effect, does my "Lazy" or my opponent's "Bide Barricade" go into effect first?

In this scenario Lazy activates first. If Abilities activate at the same time, Abilities of the player whose turn it is activate first; therefore, Slaking's Ability activates first, since it's the player with Slaking's turn.

Relevant cards

SM12_115