Creature and planeswalker spells you cast have affinity for artifacts. (They cost {1} less to cast for each artifact you control.)
[+2]: Tezzeret, Master of the Bridge deals X damage to each opponent, where X is the number of artifacts you control. You gain X life.
[−3]: Return target artifact card from your graveyard to your hand.
[−8]: Exile the top ten cards of your library. Put all artifact cards from among them onto the battlefield.
Affinity can reduce only generic mana in a spell’s cost. It can’t reduce color requirements.
Affinity doesn’t change the spell’s converted mana cost. It changes only how much mana you pay to cast the spell.
Affinity for artifacts means “This spell costs {1} less for each artifact you control.”
If a spell has multiple instances of affinity, each applies.
If there are any additional costs or cost increases that would apply to a spell with affinity, apply those before applying any cost reductions.
In a Two-Headed Giant game, Tezzeret’s first loyalty ability causes the opposing team to lose twice X life and you gain X life.
Tezzeret himself doesn’t have affinity for artifacts.
The cost reduction is set before you pay any of the spell’s costs. Specifically, you could lock in a discount for an artifact you control and then sacrifice that artifact to activate a mana ability.