我应该怎么做才能拥有正确的重写 equals 和 hashcode 方法？

Question

我下面有课

using System;
using System.Collections.Generic;

namespace x
{
    public class y : IEquatable<y>
    {

        public int a;
        public int b;

        public override bool Equals(object obj)
        {
            return Equals(obj as y);
        }

        public bool Equals(y other)
        {
            return other != null &&
                   a == other.a &&
                   b == other.b &&
        }
        public override int GetHashCode()
        {
            int hashCode = 1557084561;
            hashCode = hashCode * -1521134295 + 
            EqualityComparer<string>.Default.GetHashCode(Name);
            hashCode = hashCode * -1521134295 + a.GetHashCode();
            hashCode = hashCode * -1521134295 + b.GetHashCode();
            return hashCode;
        }
    }
}

我的问题是方法

public override int GetHashCode()

是否应该对应于方法

public bool Equals(y other)

而不是

Equals(object obj)

？我怎么知道。如果是这样，我如何对应它，因为我无法创建方法

public bool override Equals(y other)

？