Question

which equation represents the hanger balance?
9 = y + 4
how can you get y by itself and keep the
hanger balanced?
?
?
on both sides.
hanger image with weights and y

Explanation:

Step1: Verify the balance equation

The left side of the hanger has 9 units ($5+4$), the right side has $y+4$. So the equation is $9 = y + 4$, which matches the given equation.

Step2: Isolate $y$ by subtraction

Subtract 4 from both sides to keep balance.
$9 - 4 = y + 4 - 4$

Step3: Simplify to solve for $y$

Calculate both sides of the equation.
$5 = y$

Answer:

1. The equation representing the hanger balance is $\boldsymbol{9 = y + 4}$
2. To get $y$ by itself: subtract 4 on both sides, resulting in $\boldsymbol{y=5}$