Simplify by combining like terms.

2/8x+3/10y−5/8x+4/10y

To simplify this expression, we want to combine like terms by grouping together the terms with the same variables raised to the same powers.

First, let's group the terms with the variable x together and the terms with the variable y together:

(2/8x - 5/8x) + (3/10y + 4/10y)

Next, simplify each group of terms:

(-3/8x) + (7/10y)

Putting it all together, the simplified expression is:

-3/8x + 7/10y

To simplify the given expression by combining like terms, we first need to identify the like terms. Like terms are terms that have the same variable(s) with the same exponent(s).

The given expression is:
2/8x + 3/10y - 5/8x + 4/10y

The terms that have "x" are: 2/8x and -5/8x, which have the same variable "x".
The terms that have "y" are: 3/10y and 4/10y, which have the same variable "y".

Now, let's combine the like terms:

2/8x - 5/8x = (2 - 5)/8x = -3/8x
3/10y + 4/10y = (3 + 4)/10y = 7/10y

Combining like terms, we get:
-3/8x + 7/10y

Therefore, the simplified expression is -3/8x + 7/10y.

To simplify the expression by combining like terms, we need to add or subtract the coefficients that have the same variable(s).

The given expression is:

2/8x + 3/10y − 5/8x + 4/10y

First, let's combine the like terms with the variable x. We have 2/8x and -5/8x. Since they both have the same variable, we can add their coefficients:

(2/8 - 5/8)x

Simplifying the coefficients, we get (-3/8)x.

Next, let's combine the like terms with the variable y. We have 3/10y and 4/10y. Since they both have the same variable, we can add their coefficients:

(3/10 + 4/10)y

Simplifying the coefficients, we get (7/10)y.

Now we can put these simplified terms together:

(-3/8)x + (7/10)y

So, the simplified form of the given expression by combining like terms is (-3/8)x + (7/10)y.