Questions: Solve the following equation, then choose the correct answer from below: (4y-2)/5-(y+4)/5=-3 y=3 y=-13 y=-3 y=0

Solve the following equation, then choose the correct answer from below: (4y-2)/5-(y+4)/5=-3 y=3 y=-13 y=-3 y=0
Transcript text: Solve the following equation, then choose the correct answer from below: \[ \frac{4 y-2}{5}-\frac{y+4}{5}=-3 \] $y=3$ $y=-13$ $y=-3$ $y=0$
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Solution

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Solution Steps

Step 1: Combine the fractions

Since both terms on the left side of the equation have the same denominator, combine them: \[ \frac{4y - 2 - (y + 4)}{5} = -3 \]

Step 2: Simplify the numerator

Distribute the negative sign and combine like terms in the numerator: \[ \frac{4y - 2 - y - 4}{5} = -3 \] \[ \frac{3y - 6}{5} = -3 \]

Step 3: Eliminate the denominator

Multiply both sides of the equation by 5 to eliminate the denominator: \[ 3y - 6 = -15 \]

Step 4: Solve for \( y \)

Add 6 to both sides of the equation: \[ 3y = -9 \] Divide both sides by 3: \[ y = -3 \]

The correct answer is \( y = -3 \).

Final Answer

\(\boxed{y = -3}\)

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