Answer
a. $y=-8$
b. Yes (Subtraction Property of Equality)
Work Step by Step
a. Isolate $y$ by subtracting $2$ from both sides:
$y+2-2=-6-2$
$y=-8$
b. Two equations are equivalent if they have the same solution set — that is, the same value(s) of
$𝑥$ make both true.
In algebra, you can add or subtract the same number from both sides of an equation without changing its truth — this is called the Subtraction Property of Equality:
If $a=b$, then $a-c=b-c$ for any number $c$.
Given the equation:
$x+13=27$
by subtracting $13$ from each side we obtain an equivalent equation because of the Subtraction Property of Equality.
