7y+2=3y-10

Answer 1

To solve the equation 7y + 2 = 3y - 10, we can begin by isolating the variable y on one side of the equation.

First, we can subtract 3y from both sides of the equation to eliminate the 3y term on the right side of the equation:

7y + 2 - 3y = 3y - 10 - 3y

Simplifying this expression gives:

4y + 2 = -10

Next, we can subtract 2 from both sides of the equation:

4y + 2 - 2 = -10 - 2

This simplifies to:

4y = -12

Finally, we divide both sides of the equation by 4 to solve for y:

4y/4 = -12/4

This simplifies to:

y = -3

Therefore, the solution to the equation 7y + 2 = 3y - 10 is y = -3.