(5y+4)+(−2y+6)=

Jasonbradley

2 min read Jun 16, 2024

Solving the Equation: (5y + 4) + (-2y + 6) = ?

This equation involves combining like terms to simplify and solve for the variable 'y'. Here's how we can do it:

Understanding the Equation

The equation (5y + 4) + (-2y + 6) = ? is asking us to simplify the expression on the left side of the equation.

Combining Like Terms

Identify like terms: '5y' and '-2y' are like terms because they both have 'y'. Similarly, '4' and '6' are like terms because they are constants.
Combine the 'y' terms: 5y + (-2y) = 3y
Combine the constant terms: 4 + 6 = 10

Simplified Equation

After combining like terms, the simplified equation becomes:

3y + 10 = ?

Solving for 'y'

To solve for 'y', we need more information. The equation is incomplete. We need a value on the right side of the equation to determine the value of 'y'.

For example:

If the equation was (5y + 4) + (-2y + 6) = 16, we could solve for 'y' as follows:

Simplify the left side: 3y + 10 = 16
Subtract 10 from both sides: 3y = 6
Divide both sides by 3: y = 2

Therefore, if the equation was (5y + 4) + (-2y + 6) = 16, then y = 2.