2y+6=8y-42

Solution for 2y+6=8y-42 equation:

Simplifying
2y + 6 = 8y + -42

Reorder the terms:
6 + 2y = 8y + -42

Reorder the terms:
6 + 2y = -42 + 8y

Solving
6 + 2y = -42 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
6 + 2y + -8y = -42 + 8y + -8y

Combine like terms: 2y + -8y = -6y
6 + -6y = -42 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + -6y = -42 + 0
6 + -6y = -42

Add '-6' to each side of the equation.
6 + -6 + -6y = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -6y = -42 + -6
-6y = -42 + -6

Combine like terms: -42 + -6 = -48
-6y = -48

Divide each side by '-6'.
y = 8

Simplifying
y = 8