What is the result of simplifying 5y - 3y + 2y?

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Multiple Choice

What is the result of simplifying 5y - 3y + 2y?

Explanation:
To simplify the expression \(5y - 3y + 2y\), we need to combine the coefficients of the like terms, which are all terms involving \(y\). First, start by identifying the coefficients of each term: - The coefficient of the first term, \(5y\), is 5. - The coefficient of the second term, \(-3y\), is -3. - The coefficient of the third term, \(2y\), is 2. Now, combine these coefficients: \[ 5 + (-3) + 2 \] Perform the addition step-by-step: 1. Start with \(5\). 2. Subtract \(3\) from \(5\): \[ 5 - 3 = 2 \] 3. Add \(2\) to \(2\): \[ 2 + 2 = 4 \] Thus, the combined coefficient simplifies to \(4\), so the simplified expression is: \[ 4y \] This is why the correct answer is \(4y\).

To simplify the expression (5y - 3y + 2y), we need to combine the coefficients of the like terms, which are all terms involving (y).

First, start by identifying the coefficients of each term:

  • The coefficient of the first term, (5y), is 5.

  • The coefficient of the second term, (-3y), is -3.

  • The coefficient of the third term, (2y), is 2.

Now, combine these coefficients:

[

5 + (-3) + 2

]

Perform the addition step-by-step:

  1. Start with (5).

  2. Subtract (3) from (5):

[

5 - 3 = 2

]

  1. Add (2) to (2):

[

2 + 2 = 4

]

Thus, the combined coefficient simplifies to (4), so the simplified expression is:

[

4y

]

This is why the correct answer is (4y).

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