Answer
\[5y-13\].
Work Step by Step
Consider the expression\[3\left( 4y-5 \right)-\left( 7y-2 \right)\].
Simplify it as follows:
First apply the distributive law and get,
\[3\left( 4y-5 \right)-\left( 7y-2 \right)=12y-15-7y+2\]
Add the like terms,
\[\begin{align}
& 3\left( 4y-5 \right)-\left( 7y-2 \right)=12y-15-7y+2 \\
& =5y-13
\end{align}\]
Hence, the given algebraic expression simplified to\[5y-13\].
