# Solve for y 3x-6y=12

Question
Linear equations and graphs
Solve for y $$\displaystyle{3}{x}-{6}{y}={12}$$

2021-02-26
Solve for y:
$$\displaystyle{3}{x}-{6}{y}={12}$$
First subtract 3x from both sides:
$$\displaystyle-{6}{y}={12}-{3}{x}$$
Now divide everything by -6:
$$\displaystyle{y}=-\frac{{12}}{{6}}+\frac{{3}}{{6}}{x}$$
Finally simplify:
$$\displaystyle{y}=-{2}+\frac{{1}}{{2}}{x}$$
Then rewrite this as:
$$\displaystyle{y}=\frac{{1}}{{2}}{x}-{2}$$

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