Linear equations form the foundation of algebra, teaching students the invaluable skill of deducing a variable’s value based on the information provided. One common type of linear equation problem is solving for a specific variable. Our focus today is on the essential skill of “Solving for y.” Whether you’re a student seeking additional practice, a tutor scouting for supplementary materials, or a teacher aiming to give their pupils some homework, this worksheet is tailored just for you!

**Answer Key**

### Directions:

Solve for ‘y’ in the given linear equations.

- y−4x=8
- 3y=6x−12
- −2y=3x−10
- 3x+5y=10
- −6x−y=2
- 2x+y=4
- 6y+3=4
- 5y=20+15x

Solving for ‘y’ is a vital skill as it helps in understanding the slope-intercept form of a line which is central in graphing linear equations. This particular format allows one to easily deduce the slope and the y-intercept of a linear equation, which in turn facilitates the graphing process.

### Tips for Solving for y:

**Isolate y on one side:**Your main aim is to get y by itself on one side of the equation. This may involve adding or subtracting terms on both sides or multiplying or dividing both sides by a constant.**Keep it balanced:**Remember, whatever operation you perform on one side of the equation, you must also perform on the other side to keep it balanced.**Check your work:**Once you’ve solved for y, plug your solution back into the original equation to verify its correctness.

Understanding the process of solving for ‘y’ not only enhances algebraic skills but also fosters critical thinking. It’s a basic yet essential concept that serves as a building block for more complex mathematical problems. This worksheet serves as a platform for practice, reinforcing the student’s understanding and boosting their confidence in handling linear equations. Remember, practice makes perfect, so grab your pen and paper, and dive into the world of linear equations with our “Solving for y” worksheet!