Question

Solve the equation.

3y + 4(y - 6) = 8y - 3(y - 10)
TERE
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
O C. There is no solution.

(Answer quickly)

Answer 1

A= the solution is 27

Explanation:

3y+4(y−6)=8y−3(y−10)

3y+4(y−6)=8y−3(y−10) - Simplify

3y+(4)(y)+(4)(−6)=8y+(−3)(y)+(−3)(−10)(Distribute) - Simplify

3y+4y+−24=8y+−3y+30 - Simplify

(3y+4y)+(−24)=(8y+−3y)+(30)(Combine Like Terms)

7y+−24=5y+30

7y−24=5y+30

7y−24−5y=5y+30−5y - Subtract 5y from both sides

2y−24=30

2y−24+24=30+24 - Add 24 to both sides

2y=54

2y/2 = 54/2 - Divide both sides by 2

y=27