# How do you solve 10-2.7y=y+9?

Sep 4, 2016

$y = \frac{10}{37} \mathmr{and} 0.270270270 \ldots$ (recurring dots over 2 and 0)

#### Explanation:

If we try to get coefficients on one side and variables (in this case, y) on the other.

$10 - 2.7 y = y + 9$

When we move coefficients and variables across the equal sign, their signs (+ or -) swap. + to - and vice versa.

$10 - 9 = y + 2.7 y$
$1 = 3.7 y$

$\therefore$

$\frac{1}{3.7} = y$

Again signs swap when moved about equals sign. Here,$\times$changes to $\div$.

y= 10/37