Final answer:
To solve the inequality -2y - 14x > 14 for y, isolate y on one side by adding 14x and dividing by -2.
Step-by-step explanation:
To solve the inequality -2y - 14x > 14 for y, you need to isolate y on one side of the inequality sign. First, let's move the -14x term to the right side by adding 14x to both sides:
-2y - 14x + 14x > 14 + 14x
-2y > 14 + 14x
Next, divide both sides by -2 to solve for y:
y < -7 - 7x
So the solution for y is y < -7 - 7x, where x can be any real number.