To solve for z:
\(y + w - \frac34z=0\)
Subtract y from both sides of the equation.
\(w - \frac34z=0-y \\~\\ w - \frac34z=-y\)
Subtract w from both sides of the equation.
\(- \frac34z=-y-w\)
Multiply both sides of the equation by -\(\frac43\)
\(z=-\frac43(-y-w) \\~\\ z=\frac43(y + w)\)