Question

Which choice is equivalent to the expression? - (-1 + 5y) + 3(22 - 6y)

a) -51 - 16y
b) -73 - c.40 - 28y
c) 8 - 287
d) 28 + 19m

Answer 1

After simplifying the expression - (-1 + 5y) + 3(22 - 6y), the result is 67 - 23y, which does not match any of the provided options. There may have been a typo in the options given or in the initial expression itself.

Step-by-step explanation:

The goal is to simplify the expression - (-1 + 5y) + 3(22 - 6y) and find an equivalent choice from the options a) -51 - 16y, b) -73 + 19m, c) 40 - 28y, and d) 28 + 19m.

We start with the expression:

- (-1 + 5y) = 1 - 5y (Negating each term inside the parentheses)

Then, we apply the distributive property:

3(22 - 6y) = 66 - 18y (Multiplying each term inside the parentheses by 3)

Now, add the results together:

(1 - 5y) + (66 - 18y) = 67 - 23y (Combining like terms, the 1 and 66 add up to 67 and -5y and -18y combine to -23y)

Thus, the expression simplifies to 67 - 23y, which is not one of the options provided, indicating there may have been a typo or mistake in the options or initial expression.