You can use style property for this. For example, if you want to change border -

document.elm.style.border = "3px solid #FF0000";

similarly for color -

 document.getElementById("p2").style.color="blue";

Best thing is you define a class and do this -

document.getElementById("p2").className = "classname";

(Cross Browser artifacts must be considered accordingly).

// select element from DOM using *const*
const sample = document.getElementById("myid"); // using CONST
// or you can use *var*
var sample = document.getElementById("myid"); // using VAR

// change css style
sample.style.color = 'red'; // Changes color, adds style property.
// or (not recomended)
sample.style = "color: red"; //Replaces all style properties. NOT RECOMENDED

Use document.getElementsByClassName('className').style = your_style.

var d = document.getElementsByClassName("left1");
d.className = d.className + " otherclass";

Use single quotes for JS strings contained within an html attribute's double quotes

Example

<div class="somelclass"></div>

then document.getElementsByClassName('someclass').style = "NewclassName";

<div class='someclass'></div>

then document.getElementsByClassName("someclass").style = "NewclassName";

This is personal experience.

Consider the following example: If you want to change a single CSS property(say, color to 'blue'), then the below statement works fine.

document.getElementById("ele_id").style.color="blue";

But, for changing multiple properies the more robust way is using Object.assign() or, object spread operator {...};

See below:

const ele=document.getElementById("ele_id");
const custom_style={
    display: "block",
    color: "red"
}

//Object.assign():
Object.assign(ele.style,custum_style);

Spread operator works similarly, just the syntax is a little different.

Just for the info, this can be done with CSS only with just minor HTML and CSS changes

HTML:

<div class="left">
    Hello
</div>
<div class="right">
    Hello2
</div>
<div class="center">
       <div class="left1">
           Bye
    </div>
       <div class="right1">
           Bye1
    </div>    
</div>

CSS:

.left, .right{
    margin:10px;
    float:left;
    border:1px solid red;
    height:60px;
    width:60px
}
.left:hover, .right:hover{
    border:1px solid blue;
}
.right{
     float :right;
}
.center{
    float:left;
    height:60px;
    width:160px
}

.center .left1, .center .right1{
    margin:10px;
    float:left;
    border:1px solid green;
    height:60px;
    width:58px;
    display:none;
}
.left:hover ~ .center .left1 {
    display:block;
}

.right:hover ~ .center .right1 {
    display:block;
}

and the DEMO: