In Yu-Gi-Oh is destroy and negate the same thing?

Answer 1

No. Destroying is way of sending cards to the Graveyard. While Negating is the act of nullifying the effect of another card and rendering it useless. Unless stated otherwise (such as"...negate the effect and destroy it."), all non-Continuous cards are sent (not destroyed) to the Graveyard after being "negated". Continuous Spell and Trap Cards remain on the field as usless obstructions to the players Spell & Trap Card Zone. Their effects do not apply.

If a normal spell card like swords of reveling light has it's effect negated it remains on the field and still counts the opponent's turn, and it is still send to graveyard during the opponent's 3 turn, if a normal spell like different dimension capsule is negated after activation before it resolve, since the card never get's banish from the deck, the different dimension capsule is destroy by it's own condition. If different dimension capsule was negated after the card is banish face-down from the deck, if it is still negated during the second stanby phase you do not get the face-down banish card and different dimension capsule is not destroy, nor send to the graveyard, if the face-down banish card leaves the banish zone, by other means like with necroface effect, even if different dimmention capsule his still negated it would be destroyed by its own condition if the face-down banish card leaves the banish zone, form the effect of necroface. If you negated the effect of premature burial at activation before it resolve, the monster never got special summoned so premature burial as nothing to equiped to so it is sent to the graveyard, if you negated the effect of premature burial while it is already equiped to the special summoned monster card, if you use MSt and destroyed premature burial, while it is negated by imperial order, or emperor's holiday, the monster would not be destroyed because the effect of premature burial is negated by imperial order, or emperor's holiday. If Mst destroyed on it's own premature burial that was already equiped to the special sumoned monster, the effect of premature burial would apply and destroyed the special summoned monster card equiped to premature burial.