Since this is hypothetical, and almost fantastical with the concept of no bio-chemical or nukes being popped like champagne corks; if it's the 80s timeline, then NATO would win a conventional war.
Wouldn't be easy, but the Bundeswehr, Britain and the US all had much better equipped and organised armoured forces than the Warsaw Pact.
We saw this type of battle play out between Syria and Israel, and the Israelis won. Different terrain to Europe, certainly, but exactly the same strategic and tactical scenario.
Massed Soviet armour only works after the 3rd wave hits any defences, who have by then exhausted their munitions and probably taken casualties that mean they can't respond as effectively.
NATO tankers had good guns and the tactics, training and skills to use them, NATO airforces had the same edge too, those combined will pick apart and annihilate classic Soviet tactics just like the Wehrmacht did over and over again on the Ostfront. Nevermind the fact that your average Warsaw Pact unit was not equipped with the best the USSR had, that was reserved for 4th and 5th wave assaults by Guards units. The entire Warsaw Pact was essentially a huge meat shield for the Soviets.
At a tactical level the Warsaw Pact also have a unique and serious problem: commissars. Political officers can veto command staff at lower levels, causing inflexibility and sometimes downright stupid decisions in a system that was already pretty rigid and inflexible.
Although, it must be said that the Warsaw Pact had some top notch spec ops units, and East German Hind pilots in particular had a serious advantage as they trained in the same terrain they'd face and, unusually for WP forces, had some top notch equipment.
In terms of naval battles... well, the US had 14 or more aircraft carriers in the 80s, that's a shit ton of firepower that the Soviets couldn't match. Submarine forces were about on par, but again, the manufacturing quality and technology edge of NATO would make the difference.
It'd be a hard slogging match, but the Warsaw Pact and their Soviet slave drivers would lose a lot of people and just didn't have the command flexibility due to inevitable political meddling at various levels.
Northern Germany and Holland would probably be lost, but central and Southern Europe would be the springboard from which NATO would cut off Soviet supply lines. A ceasefire would probably follow once both sides realised further fighting was either pointless or just not possible anymore. The Warsaw Pact would probably collapse in on itself by this point as there was already widespread discontent.
Of course, this assumes that Afghanistan is still a hot issue for the USSR and China hasn't waded in at some point.