To simplify the expression 3 + 4y + 3 + 7y, you’ll want to combine the like terms, which are those that have the same variable component.
1. **Identify like terms:**
The terms can be broken down into two categories:
– Constant terms: 3 and 3
– Variable terms: 4y and 7y
2. **Combine the constant terms:**
Add the constant terms together:
3 + 3 = 6
3. **Combine the variable terms:**
Add the coefficients of the variable terms:
4y + 7y = (4 + 7)y = 11y
4. **Write the simplified expression:**
Now you can combine both results into a final simpler form:
6 + 11y
Thus, the simpler form of the expression 3 + 4y + 3 + 7y is 6 + 11y.