5 (2y - 1) = 3 (y - 4)

How would I do this question/what is the answer?

Step-by-step explanation:

=10y - 5 = 3y - 12

=7y - 5 = - 12

=7y = - 7

y = 1

y = - 1

Step-by-step explanation:

to solve this equation, you would solve for y by isolating y on one side of the equation

5 (2y - 1) = 3 (y - 4) < distribute 5 into 2y - 1 and 3 into y - 4

5 (2y - 1)

5 x 2y = 10y

5 x - 1 = - 5

= 10y - 5

3 (y - 4)

3 x y = 3y

3 x - 4 = - 12

= 3y - 12

we get the new equation:

10y - 5 = 3y - 12 < add 12 to both sides to eliminate - 12 from the right side

+ 12 + 12

10y + 7 = 3y < subtract 10y from both sides

-10y - 10y

7 = - 7y < divide both sides by - 7 to isolate y

7/-7 = - 1

-7y/-7 = y

-1 = y

our solution to the equation is y = - 1. we can see if this is an answer by plugging it in and seeing if both sides are equal, but its not necessary. i will show the check anyway:

CHECK

5 (2y - 1) = 3 (y - 4) when y = - 1

5 (2 (-1) - 1) = 3 ((-1) - 4)

5 (-2 - 1) = 3 (-1 - 4)

5 (-3) = 3 (-5)

-15 = - 15

both sides check out so y = - 1 is a solution to the equation