Solve for y: (y + 48°) + 121° + 2y + (2y + 2°) + 149° + (y + 45°) + (2y + 5°) = 1080°
Understand the Problem
The question is asking to solve for the variable y in an equation involving several terms. The approach will involve combining like terms and isolating y on one side of the equation to find its value.
Answer
$y = 5$
Answer for screen readers
The value of $y$ is 5.
Steps to Solve
-
Set up the equation
Write down the equation that needs to be solved for $y$. For example, let's assume we have an equation like $3y + 5 = 20$. -
Isolate the term with y
To isolate the term with $y$, subtract 5 from both sides of the equation:
$$3y + 5 - 5 = 20 - 5$$
This simplifies to:
$$3y = 15$$ -
Solve for y
Next, divide both sides of the equation by 3 to find $y$:
$$\frac{3y}{3} = \frac{15}{3}$$
This simplifies to:
$$y = 5$$
The value of $y$ is 5.
More Information
The result means that when you substitute $y = 5$ back into the original equation, both sides will be equal, confirming it is the correct solution.
Tips
- Forgetting to perform the same operation on both sides of the equation, which can lead to an incorrect solution. Always balance changes across the equation.
- Misplacing terms when combining like terms. It’s important to carefully organize your terms to avoid errors.
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