Final answer:
To solve the equation 2x + Y = 7 for y, subtract 2x from both sides to get Y = 7 - 2x. By isolating y, we now have an expression that represents y in terms of x.
Step-by-step explanation:
To solve the equation 2x + Y = 7 for y, we need to isolate y on one side of the equation. This can be done by subtracting 2x from both sides:
2x + Y - 2x = 7 - 2x
Y = 7 - 2x
Now that y is isolated, we can see that the equation of y in terms of x is Y = 7 - 2x. If we were solving a system of equations, we could substitute this expression for y into another equation that includes both x and y. The procedure described here is a common technique in algebra to isolate a variable.