Question

choose an action to perform.
ways to rewrite expressions
combine like terms
distribute
perform multiplication
rewrite division as multiplication
rewrite fractions
rewrite signs
equation transformations
add to both sides
subtract from both sides
multiply both sides
divide both sides
\\(\frac{y}{-5} + 7 = 9\\)

Explanation:

Step1: Analyze the equation

The equation is $\frac{y}{-5} + 7 = 9$. To isolate the term with $y$, we first need to get rid of the $+7$ on the left side.

Step2: Choose the operation

Using the "Subtract from both sides" operation (from Equation Transformations), we subtract 7 from both sides.
$\frac{y}{-5} + 7 - 7 = 9 - 7$
$\frac{y}{-5} = 2$

Step3: Isolate y

Next, use the "Multiply both sides" operation. Multiply both sides by -5:
$\frac{y}{-5} \times (-5) = 2 \times (-5)$
$y = -10$
But for the first step of simplifying, the key action to start is subtracting 7 from both sides.

Answer:

Subtract from both sides (under Equation Transformations)