Question
Solve for y. -3(y-4)=-5 y+16 Simplify your answer as much as possible. y=
Ask by Ross Lynch.
Jan 07,2025 23:07
UpStudy AI Solution
Tutor-Verified Answer
Answer
\( y = 2 \)
Solution
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Mind Expander
First, let's distribute \(-3\) on the left side of the equation:
\[
-3(y - 4) = -3y + 12
\]
So the equation becomes:
\[
-3y + 12 = -5y + 16
\]
Now, let's add \(5y\) to both sides of the equation to get all terms involving \(y\) on one side:
\[
-3y + 5y + 12 = 16
\]
This simplifies to:
\[
2y + 12 = 16
\]
Next, we will subtract \(12\) from both sides:
\[
2y = 16 - 12
\]
\[
2y = 4
\]
Now, divide both sides by \(2\):
\[
y = \frac{4}{2} = 2
\]
So, the solution is:
\[
y = 2
\]
Thus, \( y=\prod 2 \).
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