Question

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

Answer 1

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

Answer 2

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