To solve for y in the equation 4x - 3y = yz + 7, you can follow these steps:
Step 1: Isolate the term with y on one side of the equation.
4x - 3y = yz + 7
Subtract 4x from both sides:
-3y = yz + 7 - 4x
Step 2: Factor out y on the right side of the equation.
-3y = y(z + 7) - 4x
Step 3: Divide both sides by the expression in parentheses (z + 7) to isolate y.
(-3y) / (z + 7) = (-4x) / (z + 7)
Step 4: Finally, divide both sides by -3 to solve for y.
y = [(-4x) / (z + 7)] / (-3)
This is the solution for y in terms of x and z. It's important to note that y is expressed as a function of both x and z in this equation.