What do you obtain when you combine -6y + 2y - 7 + 5?

What do you obtain when you combine -6y + 2y - 7 + 5?

• A. -5y - 2
• B. -4y - 2
• C. -4y + 2
• D. -6y + 2

Answer: (B)

To find the result of combining the terms in the expression -6y + 2y - 7 + 5, we start by identifying the like terms. The expression contains two types of terms: those with the variable \(y\) and constant terms. First, we combine the \(y\) terms: \(-6y + 2y\) can be simplified by subtracting the coefficients: \(-6 + 2 = -4\), therefore, \(-6y + 2y = -4y\). Next, we combine the constant terms: \(-7 + 5\) can be simplified as follows: \(-7 + 5 = -2\). Now we can combine these simplified results to form a single expression: \(-4y - 2\). This matches perfectly with the answer that is indicated as the correct one. The expression simplifies down to \(-4y - 2\), confirming that this option accurately reflects the combination of like terms in the original expression.

To find the result of combining the terms in the expression -6y + 2y - 7 + 5, we start by identifying the like terms.

The expression contains two types of terms: those with the variable (y) and constant terms.

First, we combine the (y) terms:

(-6y + 2y) can be simplified by subtracting the coefficients:

(-6 + 2 = -4),

therefore, (-6y + 2y = -4y).

Next, we combine the constant terms:

(-7 + 5) can be simplified as follows:

(-7 + 5 = -2).

Now we can combine these simplified results to form a single expression:

(-4y - 2).

This matches perfectly with the answer that is indicated as the correct one. The expression simplifies down to (-4y - 2), confirming that this option accurately reflects the combination of like terms in the original expression.