Question

solve for y.

Z=5/6(x+5y)

Answer 1

Multiply by x+5y
\[z(x+5y)=\frac{5}{6}\]
Distribute the z
\[zx+5zy=\frac{5}{6}\]
Isolate the y term
\[5zy=\frac{5}{6}-zx\]
Divide by 5z
\[y=\frac{1}{5z}(\frac{5}{6}-zx)\]
Distribute
\[y=\frac{1}{6z}-\frac{x}{5}\]