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Solve for y: 2(y - 5) = 14

User Max Cantor
by
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2 Answers

2 votes

To solve for y in the equation 2(y - 5) = 14, follow these steps:

Start with the given equation:

2(y - 5) = 14

First, distribute the 2 on the left side of the equation by multiplying it with each term inside the parentheses:

2 * y - 2 * 5 = 14

Simplify both sides of the equation:

2y - 10 = 14

Next, isolate the term with the variable (2y) on the left side. To do this, add 10 to both sides of the equation:

2y - 10 + 10 = 14 + 10

Simplify:

2y = 24

Finally, solve for y by dividing both sides of the equation by 2:

(2y) / 2 = 24 / 2

Simplify:

y = 12

So, the solution to the equation 2(y - 5) = 14 is y = 12.

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User Chen Dachao
by
7.5k points
5 votes

Answer:

y = 12

Explanation:

To solve for y in the equation 2(y - 5) = 14, follow these steps:

Distribute the 2 on the left side of the equation:

2(y - 5) = 14

2y - 10 = 14

Add 10 to both sides of the equation to isolate the term with 2y:

2y - 10 + 10 = 14 + 10

2y = 24

Finally, divide both sides by 2 to solve for y:

2y / 2 = 24 / 2

y = 12

So, the solution for y is y = 12.

User Ryxle
by
7.8k points