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'.
$y = \frac{9}{2}$

Answer: 1 solution
Answer as fraction: $\frac{9}{2}$
Answer as decimal: $4.5$