Wang Mullins
03/14/2023 · Senior High School
Question solve: \( -9(2 y-3)=18 \). Simplify your answer.
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the equation \( -9(2y - 3) = 18 \), we start by distributing the \(-9\) on the left side:
\[
-9 \cdot 2y + -9 \cdot (-3) = 18
\]
This simplifies to:
\[
-18y + 27 = 18
\]
Next, we isolate the term with \(y\) by subtracting \(27\) from both sides:
\[
-18y + 27 - 27 = 18 - 27
\]
This simplifies to:
\[
-18y = -9
\]
Now, we divide both sides by \(-18\) to solve for \(y\):
\[
y = \frac{-9}{-18}
\]
This simplifies to:
\[
y = \frac{1}{2}
\]
Thus, the solution is:
\[
\boxed{\frac{1}{2}}
\]
Quick Answer
\( y = \frac{1}{2} \)
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