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Question

solve the equation algebraically

2(5 - 2y) - 3(1 - y) = y+1

Answer 1

This is an easy algebratic equation. I'll show you all the steps to solve this and how to check it.

2(5 - 2y) - 3(1 - y) = y+1

2(5) - 2(2y) - 3(1) - 3(-y) = y + 1

10 - 4 y -3 +3y = y +1

-y + 7 = y + 1

(y - 1) + (-y + 7) = (y + 1) + (y - 1)

6 = 2y

6/2 = 2y/2

3 = y

Just in case you need to check your answers, you can plug the 3 back in the equation for y.

Like this:

2(5 - 2y) - 3(1 - y) = y+1         [this is your orignial equation]

2[5 - 2(3)] - 3[1- (3)] = (3) + 1

2(5 - 6) - 3(-2) = 4

10 - 12 + 6 = 4

-2 +6 = 4

4 = 4

[since 4 equals 4, the answer is correct.]

Answer 2

2(5 -- 2y) -- 3(1 -- y) = y + 1

Or 10 -- 4y -- 3 + 3y = y + 1

Or --2y = -- 6

Or y = --6 / (--2)

Or y = 3

Answer 3

2(5-2y)-3(1-y)=y+1

10-4y-3+3y=y+1

7-y=y+1

6=2y

y=3

Answer 4

(10-4y) - (3-3y) =y+1

10-4y-3+3y =y+1

10-3-y=y+1

7-1=2y

or 2y= 6

and y =3 is the answer

Answer 5

----> 10-4y-3+3y = y+1 -----> 6 = 2y ----> y = 3

Answer 6

Multiply.

10 - 4y - 3 + 3y = y + 1

Combine like terms.

-y + 7 = y + 1

6 = 2y

y = 3