Question:
Solve for \( y \): \( 4y - 3(2y + 1) = 5 \).
Solve for \( y \): \( 4y - 3(2y + 1) = 5 \).
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When solving equations with parentheses, distribute multiplication first, then combine like terms before isolating the variable.
Updated On: Oct 4, 2025
- \( y = 4 \)
- \( y = -4 \)
- \( y = 2 \)
- \( y = -2 \)
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The Correct Option is B
Solution and Explanation
Start by distributing the \(-3\) across the terms inside the parentheses:
\[
4y - 3(2y + 1) = 4y - 3 \cdot 2y - 3 \cdot 1 = 4y - 6y - 3.
\]
Next, combine like terms \(4y\) and \(-6y\):
\[
4y - 6y - 3 = -2y - 3.
\]
Set the expression equal to 5:
\[
-2y - 3 = 5.
\]
Add 3 to both sides to isolate the term with \(y\):
\[
-2y = 8.
\]
Finally, divide both sides by \(-2\) to solve for \(y\):
\[
y = \frac{8}{-2} = -4.
\]
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