+1006 $${\frac{{\mathtt{2}}}{{\mathtt{7}}}}{\mathtt{\,\times\,}}{\mathtt{y}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}} = -{\mathtt{9}}$$
Okay, so first we subtract 5 from both sides.
$${\frac{{\mathtt{2}}}{{\mathtt{7}}}}{\mathtt{\,\times\,}}{\mathtt{y}} = -{\mathtt{14}}$$
Then, divide both sides by 2/7
$${\frac{\left({\frac{{\mathtt{2}}}{{\mathtt{7}}}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}{\left({\frac{{\mathtt{2}}}{{\mathtt{7}}}}\right)}} = {\mathtt{\,-\,}}{\frac{{\mathtt{14}}}{\left({\frac{{\mathtt{2}}}{{\mathtt{7}}}}\right)}} \Rightarrow {\mathtt{y}} = -{\mathtt{49}}$$
The fraction on the left side, since dividing fractions by fractions is not good, will instead be multiplied by the reciprocal, cancel out, and equal 1. Same with the other side; the fraction will flip, so instead of -14/2/7, it will be -14*7/2. -14*7 = -98, and -98/2 = -49.
y = -49
