Solve 7y-6=2y+8 show clear algebraic working

7y - 6 = 2y + 8

put similar terms on one side of the equation

transpose 2y

7y - 2y - 6 = 8

transpose - 6

7y - 2y = 8 + 6

operate/simplify

5y = 14

[5y = 14] (1/5)

y = 14/5

1) subtract 2y in both sides: (7y-2y) - 6 = (2y-2y) + 8 which is 5y-6=8

2) Add 6 to both sides: 5y (-6+6) = 8+6 which is 5y=14

3) Divide 5 on both sides: 5y/5=14/5 which is y=14/5 or y=2.8 or y=2 4/5