We need to simplify the expression:
[tex]\left(-9y+3\right)-\left(-2y+5\right)[/tex]Notice that the minus before the parenthesis changes the signs inside the parenthesis:
[tex]\begin{gathered} \left(-9y+3\right)-\left(-2y+5\right) \\ \\ -9y+3+2y-5 \end{gathered}[/tex]Now, we need to group like terms, i.e., add the terms multiplying y and then add the constant terms:
[tex]\begin{gathered} -9y+3+2y-5 \\ \\ -9y+2y+3-5 \\ \\ \left(-9+2\right)y-2 \\ \\ -7y-2 \end{gathered}[/tex]Therefore, after simplifying the expression, we obtain:
[tex]-7y-2[/tex]