# How do you solve #12( 2y + 11) = 12( 2y + 12)#?

##### 1 Answer

Nov 12, 2016

equation has no solution.

#### Explanation:

Start by distributing the brackets on both sides of the equation.

#rArr24y+132=24y+144# subtract 132 from both sides.

#24ycancel(+132)cancel(-132)=24y+144-132#

#rArr24y=24y+12# subtract 24y from both sides.

#cancel(24y)cancel(-24y)=cancel(24y)cancel(-24y)+12#

#rArr0=12# This statement makes no sense as 0 ≠ 12.

Hence the equation has no solution.