QuestionAugust 25, 2025

Solve for y. (y)/(2)=(y)/(5)-3 Simplify your answer as much as possible. y= square

Solve for y. (y)/(2)=(y)/(5)-3 Simplify your answer as much as possible. y= square
Solve for y. (y)/(2)=(y)/(5)-3 Simplify your answer as much as possible. y= square

Solution
4.7(138 votes)

Answer

y = -10 Explanation 1. Eliminate fractions Multiply every term by 10 to eliminate the denominators: 10 \cdot \frac{y}{2} = 10 \cdot \frac{y}{5} - 10 \cdot 3. 2. Simplify equation This results in 5y = 2y - 30. 3. Isolate variable y Subtract 2y from both sides: 5y - 2y = -30. 4. Solve for y Simplify to get 3y = -30. Divide both sides by 3: y = \frac{-30}{3}.

Explanation

1. Eliminate fractions<br /> Multiply every term by 10 to eliminate the denominators: $10 \cdot \frac{y}{2} = 10 \cdot \frac{y}{5} - 10 \cdot 3$.<br />2. Simplify equation<br /> This results in $5y = 2y - 30$.<br />3. Isolate variable y<br /> Subtract $2y$ from both sides: $5y - 2y = -30$.<br />4. Solve for y<br /> Simplify to get $3y = -30$. Divide both sides by 3: $y = \frac{-30}{3}$.
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