Question

the equation $-3.2y + 9.4 = 1.5y - 2.35$ represents the number of miles sabrina jogged, $y$. solve the equation. show your work.

Explanation:

Step1: Isolate y terms

Add $3.2y$ to both sides.
$-3.2y + 9.4 + 3.2y = 1.5y - 2.35 + 3.2y$
$9.4 = 4.7y - 2.35$

Step2: Isolate the y term

Add $2.35$ to both sides.
$9.4 + 2.35 = 4.7y - 2.35 + 2.35$
$11.75 = 4.7y$

Step3: Solve for y

Divide both sides by $4.7$.
$y = \frac{11.75}{4.7}$
$y = 2.5$

Answer:

$y = 2.5$