  We study the relations of multiple $t$-values of general level. The
generating function of sums of multiple $t$-(star) values of level $N$ with
fixed weight, depth and height is represented by the generalized hypergeometric
function $_3F_2$, which generalizes the results for multiple zeta(-star) values
and multiple $t$-(star) values. As applications, we obtain formulas for the
generating functions of sums of multiple $t$-(star) values of level $N$ with
height one and maximal height and a weighted sum formula for sums of multiple
$t$-(star) values of level $N$ with fixed weight and depth. Using the stuffle
algebra, we also get the symmetric sum formulas and Hoffman's restricted sum
formulas for multiple $t$-(star) values of level $N$. Some evaluations of
multiple $t$-star values of level $2$ with one-two-three indices are given.
