How do you solve and check your solution given #-0.4y=2#?

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Answer 1 · 2017-10-02T11:03:31

#y=-5#

We know that #-0.4y=2#
We multiply both sides by #10#:

#-0.4ycolor(blue)*color(blue)10=2color(blue)*color(blue)10#
Simplify:
#-4y=20#
Divide both sides by #-4#

#(-4y)/(-4)=20/(-4)#
Simplify:
#y=-5#

Let's check.

#y=-5#

#-0.4y=2#

#-0.4*y=2#

#-0.4*-5=2#

The equation is true.
So, the answer is #y=-5#.