###### Example3.3.7

Solve for $$y$$ in $$2x+5y=10\text{.}$$ (This is a linear equation in standard form.)

To solve for $$y$$ in the equation $$2x+5y=10\text{,}$$ we will first have to solve for $$5y\text{.}$$ We'll do so by subtracting $$2x$$ from each side of the equation. After that, we'll be able to divide each side by $$5$$ to finish solving for $$y\text{:}$$

\begin{align*} 2x+5\attention{y}\amp=10\\ 2x+5\attention{y}\subtractright{2x}\amp=10\subtractright{2x}\\ 5\attention{y}\amp=10-2x\\ \divideunder{5\attention{y}}{5}\amp=\divideunder{10-2x}{5}\\ y\amp=\frac{10-2x}{5} \end{align*}
in-context