6(y+1)=3y-21

Solution for 6(y+1)=3y-21 equation:

Simplifying
6(y + 1) = 3y + -21

Reorder the terms:
6(1 + y) = 3y + -21
(1 * 6 + y * 6) = 3y + -21
(6 + 6y) = 3y + -21

Reorder the terms:
6 + 6y = -21 + 3y

Solving
6 + 6y = -21 + 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 + 6y + -3y = -21 + 3y + -3y

Combine like terms: 6y + -3y = 3y
6 + 3y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + 3y = -21 + 0
6 + 3y = -21

Add '-6' to each side of the equation.
6 + -6 + 3y = -21 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = -21 + -6
3y = -21 + -6

Combine like terms: -21 + -6 = -27
3y = -27

Divide each side by '3'.
y = -9

Simplifying
y = -9