3y+2=y-6

Solution for 3y+2=y-6 equation:

Simplifying
3y + 2 = y + -6

Reorder the terms:
2 + 3y = y + -6

Reorder the terms:
2 + 3y = -6 + y

Solving
2 + 3y = -6 + y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1y' to each side of the equation.
2 + 3y + -1y = -6 + y + -1y

Combine like terms: 3y + -1y = 2y
2 + 2y = -6 + y + -1y

Combine like terms: y + -1y = 0
2 + 2y = -6 + 0
2 + 2y = -6

Add '-2' to each side of the equation.
2 + -2 + 2y = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 2y = -6 + -2
2y = -6 + -2

Combine like terms: -6 + -2 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4