Final answer:
y = (6 - 2x) / 5. To solve the equation 2x + 4y = 6 - y, combine like terms and then solve for y in terms of x.
Step-by-step explanation:
To solve the equation 2x + 4y = 6 - y, we need to simplify and combine like terms. First, let's add y to both sides of the equation to eliminate the negative sign:
2x + 4y + y = 6
Next, combine the y terms:
2x + 5y = 6
This equation is now in standard form, and we can solve for x or y. However, since there is only one equation, we cannot find unique values for x and y. We can only express one variable in terms of the other. For example, we can solve for y in terms of x by subtracting 2x from both sides and dividing by 5:
y = (6 - 2x) / 5