2y+6=9y+2

Solution for 2y+6=9y+2 equation:

Simplifying
2y + 6 = 9y + 2

Reorder the terms:
6 + 2y = 9y + 2

Reorder the terms:
6 + 2y = 2 + 9y

Solving
6 + 2y = 2 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
6 + 2y + -9y = 2 + 9y + -9y

Combine like terms: 2y + -9y = -7y
6 + -7y = 2 + 9y + -9y

Combine like terms: 9y + -9y = 0
6 + -7y = 2 + 0
6 + -7y = 2

Add '-6' to each side of the equation.
6 + -6 + -7y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 2 + -6
-7y = 2 + -6

Combine like terms: 2 + -6 = -4
-7y = -4

Divide each side by '-7'.
y = 0.5714285714

Simplifying
y = 0.5714285714