Final answer:
To simplify the expression 5(2x - y) - 2(3y - 5x), distribute the numbers outside the parentheses, combine like terms, and simplify to get 20x - 11y, which is answer option (d).
Step-by-step explanation:
To solve the expression 5(2x - y) - 2(3y - 5x), we need to distribute the numbers outside the parentheses to each term inside the parentheses.
First, multiply 5 by both 2x and -y: 5 × 2x = 10x and 5 × (-y) = -5y.
Next, multiply -2 by both 3y and -5x: -2 × 3y = -6y and -2 × (-5x) = 10x.
Combine like terms after distribution: 10x - 5y + 10x - 6y.
Add the x terms: 10x + 10x = 20x.
Add the y terms: -5y - 6y = -11y.
So the simplified expression is 20x - 11y, which corresponds to answer option (d).