How do you find the domain and range for  y= -2x +3?

Domain: $\left(- \infty , + \infty\right)$
Range: $\left(- \infty , + \infty\right)$

Explanation:

The Domain is the set of all real numbers
The Range is also the set of all real numbers

See the graph of $y = - 2 x + 3$
graph{y=-2x+3[-20,20,-10,10]}

God bless...I hope the explanation is useful.