10 (1 - 2y) = - 5 (2Y - 1)

y = 1/2

Step-by-step explanation:

solve for; y

10 (1 - 2y) = - 5 (2Y - 1)

-10 (2y-1) + 5 (2Y - 1) = 0

(2y-1) (-10+5) = 0

-5 (2y-1) = 0

2y-1=0

y = 1/2

y = 1/2

Step-by-step explanation:

1) 10 (1 - 2y) = - 5 (2y - 1)

Multiply 10 into the parentheses, then multiply - 5 into the parentheses.

2) 10 - 20y = - 10y + 5

Remember, double negatives when multiplying make positive numbers Next, switch - 10y with 5 so you'll have like terms on each side.

3) 10y - 20y = - 10 + 5

When you switch terms, you change the signs of them to either negative/positive. Now, subtract 10y - 20y & add - 10 & 5 together.

4) - 10y = - 5

Divide - 10 into - 5.

5) y = - 5/-10

What is present above is not the correct answer. You must simplify the fraction, & make the fraction a positive one.

6) y = 1/2

Now you have your answer. 10 (1 - 2y) = - 5 (2y - 1) is 1/2 or 0.5

Here's how to check your answer.

10 (1 - 2 (1/2)) = - 5 (2 (1/2) - 1)

10 (1 - 1) = - 5 (1 - 1)

2 times 1/2 equals 2/2, which would then be revised to 1.

10 (0) = - 5 (0)

0=0