5y+6=2y-9

Solution for 5y+6=2y-9 equation:

Simplifying
5y + 6 = 2y + -9

Reorder the terms:
6 + 5y = 2y + -9

Reorder the terms:
6 + 5y = -9 + 2y

Solving
6 + 5y = -9 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
6 + 5y + -2y = -9 + 2y + -2y

Combine like terms: 5y + -2y = 3y
6 + 3y = -9 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 3y = -9 + 0
6 + 3y = -9

Add '-6' to each side of the equation.
6 + -6 + 3y = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = -9 + -6
3y = -9 + -6

Combine like terms: -9 + -6 = -15
3y = -15

Divide each side by '3'.
y = -5

Simplifying
y = -5