Solve for y: 16 = 4y + 4
Understand the Problem
The question asks to solve the equation 16 = 4y + 4 for the variable y. This involves isolating y on one side of the equation by performing algebraic operations (subtraction and division) to simplify and find the value of y.
Answer
$y = 3$
Answer for screen readers
$y = 3$
Steps to Solve
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Subtract 4 from both sides To isolate the term with $y$, subtract 4 from both sides of the equation: $16 - 4 = 4y + 4 - 4$ This simplifies to: $12 = 4y$
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Divide both sides by 4 To solve for $y$, divide both sides of the equation by 4: $\frac{12}{4} = \frac{4y}{4}$ This simplifies to: $3 = y$
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State the solution Therefore, the solution is $y = 3$.
$y = 3$
More Information
The solution to the equation $16 = 4y + 4$ is $y = 3$. This means that when $y$ is equal to 3, the equation holds true.
Tips
A common mistake is to add 4 to both sides instead of subtracting. Remember to perform the opposite operation to isolate the variable term. Another mistake is to divide only one side of the equation by 4. Always perform the same operation on both sides to maintain equality.
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