Answer
contradiction
Work Step by Step
Using the properties of equality, the solution to the given equation, $
14y=23y-17-9y
$, is
\begin{array}{l}\require{cancel}
14y-23y+9y=-17
\\\\
0=-17
\text{ (FALSE)}
.\end{array}
Since the solution above ended with a FALSE statement, then the given equation is a $\text{
contradiction
}$.
