Solve for y in: - 3y-1=4y-5

-3y - 1 = 4y - 5

-7y - 1 = - 5

-7y = - 4

y = 4/7

-3y-1 = 4y-5

Move 4y to the other side

Sign changes from + 4y to - 4y

-3y-4y-1 = 4y-4y-5

-3y-4y-1=-5

-7y-1 = - 5

Move - 1 to the other side

Sign changes from - 1 to + 1

-7y-1+1 = - 5+1

-7y = - 5+1

-7y = - 4

Divide both sides by - 7

-7y/-7 = - 4/-7

Cross out - 7 and - 7, divide both sides by 7. Then becomes 1*1*y = y

y = - 4/-7

Answer: y = 4/7