2y+1=9y-6

Solution for 2y+1=9y-6 equation:

Simplifying
2y + 1 = 9y + -6

Reorder the terms:
1 + 2y = 9y + -6

Reorder the terms:
1 + 2y = -6 + 9y

Solving
1 + 2y = -6 + 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.
1 + 2y + -9y = -6 + 9y + -9y

Combine like terms: 2y + -9y = -7y
1 + -7y = -6 + 9y + -9y

Combine like terms: 9y + -9y = 0
1 + -7y = -6 + 0
1 + -7y = -6

Add '-1' to each side of the equation.
1 + -1 + -7y = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -7y = -6 + -1
-7y = -6 + -1

Combine like terms: -6 + -1 = -7
-7y = -7

Divide each side by '-7'.
y = 1

Simplifying
y = 1