Solve for y: -2 + y = -6.
Understand the Problem
The question is asking how to solve the equation -2 + y = -6 for the variable y. This involves isolating y on one side of the equation.
Answer
$y = -4$
Answer for screen readers
The solution for $y$ is:
$$ y = -4 $$
Steps to Solve
- Add 2 to both sides
To isolate the variable $y$, start by eliminating the $-2$. You can do this by adding 2 to both sides of the equation:
$$ -2 + y + 2 = -6 + 2 $$
- Simplify both sides
Now simplify both sides of the equation:
$$ y = -4 $$
- Verify the solution
Substitute $y = -4$ back into the original equation to verify:
$$ -2 + (-4) = -6 $$ This is correct.
The solution for $y$ is:
$$ y = -4 $$
More Information
When solving linear equations, the goal is to isolate the variable you're solving for. In this case, we added 2 to both sides to clear the equation of constants.
Tips
- Not performing the same operation on both sides: Always ensure you perform the same operation (addition, subtraction, etc.) on both sides of the equation to maintain equality.
- Miscalculating negatives: Be careful with the signs, especially when dealing with negative numbers.
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