Question 70923
Given:
.
{{{6-2(5-y)=6-10+2y}}}
.
Is it true or false? It will be true if the left side of the equation equals the right side.
.
Begin on the left side by multiplying -2 times (5-y) to get -10 + 2y.  Substitute this
into the original equation to get:
.
{{{6-10 + 2y=6-10+2y}}}
.
Notice now that the left side equals the right side, term for term and sign for sign.
Therefore, the two sides are identical and the given equation is true.
.
Hope this gives you some insight into how to tell if equations are true.