5y+6=3y-12

Solution for 5y+6=3y-12 equation:

Simplifying
5y + 6 = 3y + -12

Reorder the terms:
6 + 5y = 3y + -12

Reorder the terms:
6 + 5y = -12 + 3y

Solving
6 + 5y = -12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + 5y + -3y = -12 + 3y + -3y

Combine like terms: 5y + -3y = 2y
6 + 2y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + 2y = -12 + 0
6 + 2y = -12

Add '-6' to each side of the equation.
6 + -6 + 2y = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = -12 + -6
2y = -12 + -6

Combine like terms: -12 + -6 = -18
2y = -18

Divide each side by '2'.
y = -9

Simplifying
y = -9