9Y+6=13Y-2

Solution for 9Y+6=13Y-2 equation:

Simplifying
9Y + 6 = 13Y + -2

Reorder the terms:
6 + 9Y = 13Y + -2

Reorder the terms:
6 + 9Y = -2 + 13Y

Solving
6 + 9Y = -2 + 13Y

Solving for variable 'Y'.

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

Add '-13Y' to each side of the equation.
6 + 9Y + -13Y = -2 + 13Y + -13Y

Combine like terms: 9Y + -13Y = -4Y
6 + -4Y = -2 + 13Y + -13Y

Combine like terms: 13Y + -13Y = 0
6 + -4Y = -2 + 0
6 + -4Y = -2

Add '-6' to each side of the equation.
6 + -6 + -4Y = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -4Y = -2 + -6
-4Y = -2 + -6

Combine like terms: -2 + -6 = -8
-4Y = -8

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

Simplifying
Y = 2