# How do you solve 4y + \frac { 2y - 3} { 2} = 8?

May 14, 2017

Multiply both sides by 2, then simplify
Answer: $y = 1.9$

#### Explanation:

Solve $4 y + \frac{2 y - 3}{2} = 8$

First we want to multiply the entire equation by $2$ to eliminate the fraction:
$2 \left(4 y + \frac{2 y - 3}{2} = 8\right)$
$8 y + 2 y - 3 = 16$

We can add $3$ to both sides to move the constants to one side:
$8 y + 2 y - 3 + 3 = 16 + 3$

Now we can combine like-terms:
$10 y = 19$

Finally, we divide both sides by $10$ to isolate $y$:
$\frac{10 y}{10} = \frac{19}{10}$
$y = 1.9$