How do you solve #5=5(y-2)# using the distributive property?

1 Answer
Mar 2, 2017

Answer:

#color(green)(y=3)#
#color(white)("XXX")#see below for use of the distributive property in this solution

Explanation:

According to the distributive property
#color(white)("XXX")5(y-2)=5 * y - 5 * 2= 5y-10#

So
#color(white)("XXX")5=5(y-2)#
is equivalent to
#color(white)("XXX")5=5y-10#

Adding #10# to both sides:
#color(white)("XXX")15=5y#

Then dividing by #5#:
#color(white)("XXX")3=ycolor(white)("XXX")#or more commonly: #y=3#