-6y+12=-3(y+2)

Solution for -6y+12=-3(y+2) equation:

Simplifying
-6y + 12 = -3(y + 2)

Reorder the terms:
12 + -6y = -3(y + 2)

Reorder the terms:
12 + -6y = -3(2 + y)
12 + -6y = (2 * -3 + y * -3)
12 + -6y = (-6 + -3y)

Solving
12 + -6y = -6 + -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.
12 + -6y + 3y = -6 + -3y + 3y

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

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

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

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

Combine like terms: -6 + -12 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6