Final answer:
To fully simplify the expression 8x + 4y + 5 + 2y - 2x, combine the like terms. The fully simplified expression is 6x + 6y + 5.
Step-by-step explanation:
The given expression is 8x + 4y + 5 + 2y - 2x. To fully simplify this expression, we can combine the like terms. Like terms are terms that have the same variable(s) raised to the same power. In this case, the like terms are 8x and -2x (both have the variable x) and 4y and 2y (both have the variable y).
Combining the like terms, we have (8x - 2x) + (4y + 2y) + 5. Simplifying further, we get 6x + 6y + 5.
Therefore, the fully simplified expression is 6x + 6y + 5.