Are the equivalent 2 (x-y) and 2x-2y

Yes

Step-by-step explanation:

2 (x-y)

You multiple 2 first with first number (x) then you rewrite the sign (minus) then you multiple 2 with second number (y)

2*x-2*y which is the same as 2x-2y

Yes

Step-by-step explanation:

So for the expression 2 (x-y) the 2 is on the outside, meaning it multiplies everything on the inside of the parentheses, so x becomes 2x and y becomes 2y, making the 2 expressions equal.