이런 방식은 어떨까요?

function solution(str) {
    let answer;
    let stack = [];
    if(str.length % 2 === 1) return "NO";
    for(let i = 0; i < str.length; i++) {
        if(str[i] === '(') stack.push(str[i]);
        else stack.pop();
    }
    if(stack.length === 0) answer = "Yes";
    else answer = "NO";

    return answer;
}
let a=")()(";
console.log(solution(a));