Question

Simplify the expression.

2/5y−4+7−9/10y =
PLEASE WHOEVER TELLS ME THIS (CORRECT) ANSWER ILL MAKE ANOTHER QUESTION WITH 30 POINTS

Answer 1

6y - 1/2y

Explanation:

So...

We need to multiply by 5y/5y to write -4 as a fraction with a common denom.

2/5y - 4 * 5y/5y + 7 - 9/10y

Simplify...

Combine the -4 and 5y/5y

2/5y + -4(5y)/5y + 7 - 9/10y

Combine the numer over the common denom

2 - 4(5y)/5y + 7 - 9/10y

Simplify the numerator by factoring 2 out of then 2 out of -4 * 5y and then 2 out of 2(1) + 2 (-2 * 5y)

2(1) - 4 * 5y/5y + 7 - 9/10y

2(1) + 2(-2 * 5y)/5y + 7 - 9/10y

2(1 - 2 * 5y)/5y + 7 - 9/10y

Now multiply -2 by 5

2(1 - 10y)/5y + 7 - 9/10y

Now we do the same 5y/5y with 7

Combine...

2(1 - 10y)/5y + 7(5y)/5y - 9/10y

Combine more.

2(1 - 10y) + 7(5y)/5y - 9/10y

Now we need to simplify more

Distributive property application

2 * 1 + 2 (-10y) + 7 * 5y/5y - 9/10y

Multiply 2 by 1

2 + 2(-10y) + 7 * 5y/5y - 9/10y

-10 by 2

2 - 20y + 7 * 5y/5y - 9/10y

Then 7 by 5

2 - 20y + 35y/5y - 9/10y

Then -20y by 35y

2 + 15y/5y - 9/10y

Now we have to multiply 2 + 15y/5y by 2/2

2+ 15y/5y * 2/2 - 9/10y

Now we write with a common denom of 10y and multiply with a factor of 1

(2 + 15y) * 2/5y * 2 - 9/10y

Multiply 2 by 5

(2 + 15y) * 2/10y - 9/10y

Combine again

(2 + 15y) * 2 - 9/10y

Simplify again with the distrib property

2 * 2 + 15y * 2 - 9/10y

Multiply 2 by 2

4 + 15y * 2 - 9/10y

Then 2 by 15

4 + 30y - 9/10y

Then subtract 9 from 4

30y - 5/10y

Factor out 5 from 30y - 5...

5(6y) -5/10y

5(6y) - 5/10y

Factor 5 out of -5

5(6y) + 5(-1)/10y

Then 5 out of 5(6y) + 5(-1)

5(6y - 1)/10y

Now we cancel more common factors which is 5 here

6y - 1/2y