# Understanding the displacement of a particle in a wave

I have a question regarding waves and the equation we use to describe their motion. My understanding feels shaky, so i'd like to see if I can get a good explanation/way of thinking about it.

The displacement of a particle in a $+x$ moving wave is given by;

$y = A \sin(2 \pi ft - \frac{2\pi x}{\lambda})$

But when this is contrasted to a specific example, is it correct to equate parts of the equation to one another?

For example, if I have $y = 0.021\sin(25t - 2x)$ does this imply that $2\pi ft = 25t$ and $\frac{2\pi x}{\lambda} = 2x$

And you can solve for frequency and wavelength respectively?

I hope my question makes sense.