CONTEXT:
I have the following equation for MRT=MRS (marginal rate of transformation = marginal rate of substitution):
$\frac{αy}{24-t} = \frac{ay}{bt}$
I am asked to "multiply through" by $\frac{t}{y}$, which gives the following result:
$\frac{αt}{24-t} = \frac{a}{b}$
The "multiplying through by $\frac{t}{y}$" is what seems to be confusing me.
QUESTION
Can anyone show me the individual steps that get from $\frac{αy}{24-t} = \frac{ay}{bt}$ to the result $\frac{αt}{24-t} = \frac{a}{b}$?