#### Answer

$y=\dfrac{8}{5}$

#### Work Step by Step

Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $
3y-1+2y-3=4
,$ is
\begin{array}{l}\require{cancel}
3y+2y=4+1+3
\\\\
5y=8
\\\\
y=\dfrac{8}{5}
.\end{array}