Solve the equation and check the solution.

[tex]$-y=8$[/tex]

The solution to the equation − y = 8 is y = − 8 . This was accomplished by multiplying both sides by − 1 to isolate y . Verification by substituting back into the original equation confirmed that y = − 8 is correct.
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Answered by Anonymous | 2025-07-04

Multiply both sides of the equation − y = 8 by − 1 .
Simplify the equation to find y = − 8 .
Check the solution by substituting y = − 8 back into the original equation: − ( − 8 ) = 8 .
The solution is y = − 8 , which satisfies the original equation, so the final answer is − 8 ​ .

Explanation

Understanding the Problem We are given the equation − y = 8 and we want to solve for y . This means we want to isolate y on one side of the equation.

Isolating y To isolate y , we can multiply both sides of the equation by − 1 . This gives us: ( − 1 ) × ( − y ) = ( − 1 ) × 8

The Solution Simplifying both sides, we get: y = − 8

Checking the Solution To check our solution, we substitute y = − 8 back into the original equation: − ( − 8 ) = 8 8 = 8 Since the equation holds true, our solution is correct.


Examples
In real life, this type of equation can be used to represent a simple balance sheet. For example, if a company's debt is represented by − y and is equal to 8 mi ll i o n , so l v in g t h ee q u a t i o n -y = 8 t e ll s u s t ha tt h e a c t u a l d e b t y i s -8$ million. The negative sign indicates that it is a liability. Understanding how to solve such equations is crucial for managing finances and understanding financial statements.

Answered by GinnyAnswer | 2025-07-04