<prompt> Given the following equation, calculate y.2x 8 2y-6  <response>: To calculate y, we need to solve the given equation. Heres how we can do it step-by-step:2x 8 2y - 6Rearrange the terms by moving the variables the x and y terms to one side of the equation and the constants the numbers without variables to the other side. Here, we will move x to the right side by subtracting 2x from both sides, and move the constant of -6 to the left side by adding 6 to both sides:2x 8 - 2x 6 2y - 6 - 2x 6Combine like terms:8 6 2y - 2x 014 2y - 2xNext, to get y by itself, we can divide both sides of the equation by 2 to get:142 2y - 2x2Simplify to get y by itself:7 y - xBased on this result, we can say that y 7 x. So, in order to calculate y, we need to know the value of x; if we know the value of x, we can add it to 7 to get the value for y. 