Final answer:
To simplify the expression (8x+6y)+(2x−5y), we combine like terms. The simplified expression is 10x + y.
Step-by-step explanation:
In order to simplify the expression (8x+6y)+(2x−5y), we need to combine like terms. Like terms are terms that have the same variables and the same exponent. In this expression, we have 8x, 2x, 6y, and -5y.
Combining the x terms, we have 8x + 2x = 10x. Combining the y terms, we have 6y - 5y = y.
So, the simplified expression is 10x + y.