Budget Constraint

$$C=wh+V$$

Here, $C$ means the expenditure you spend on goods, labor earnings (which is $wh$) stands for the hourly wage rate $w$ multiply the hours you work $h$ and $V$ means the non-labor income .

Wage rate plays a central role in the labor supply decision.

And now, suppose the workers have 2 uses for the time: work or leisure, and the total time allocated to each activity would be $T$. So that

$$T=h+L$$

$L$ is the leisure time. Then the budget constraint would be

$$C=w(T-L)+V$$

The intersection of the Budget Constraint and the Indifference Curve would be the combination that could maximize the utility. (See Utility Theory and Utility Maximizing Problem

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Reference

Life-time budget constraint

Inter-temporal Budget Constraint