# How do you solve 49=7(y-7)?

Jun 27, 2015

Follow the order of operations represented by PEMDAS.

#### Explanation:

$49 = 7 \left(y - 7\right)$

Follow the order of operations represented by PEMDAS: parentheses, exponents, multiplication and division, addition and subtraction.

The term inside the parentheses cannot be simplified further. There are no exponents. Divide both sides by $7$.

$49 = 7 \left(y - 7\right)$ =

${\cancel{49}}^{7} / {\cancel{7}}^{1} = y - 7$ =

$7 = y - 7$

Add $7$ to both sides.

$14 = y$

Flip the equation so $y$ is on the left side.

$y = 14$