Solve for y.

Question

w=1/8(x+y-z)

Answer 1

To solve for y, we need to isolate the variable y on one side of the equation.

Given:
w = 1/8(x + y - z)

First, simplify the equation by distributing 1/8 to (x + y - z):
w = (1/8)x + (1/8)y - (1/8)z

Next, isolate the term with y by subtracting (1/8)x and (1/8)z from both sides of the equation:
w - (1/8)x + (1/8)z = (1/8)y

To obtain y, multiply both sides of the equation by 8:
8(w - (1/8)x + (1/8)z) = y

Finally, simplify the right side of the equation:
y = 8w - x + z.