Question

How many solutions does 3.5y - 12 = 1.5(y - 2) have?

Answer 1

3.5y - 12 = 1.5(y - 2)

First, expand to remove parentheses.

`3.5y - 12 = 1.5y - 3`
Second, add '12' to both sides.

`3.5y = 1.5y - 3 + 12`
Third, simplify '-3 + 12' to get '9'.

`3.5y = 1.5y + 9`
Fourth, subtract '1.5y' from both sides.

`3.5y - 1.5y = 9`
Fifth, subtract '3.5y - 1.5y' to get '2y'.

`2y = 9`
Sixth, divide both sides by '2'.

`y = (9)/(2)`

Answer: 1 solution
Answer as fraction:
`(9)/(2)`
Answer as decimal:
`4.5`