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

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

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

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

Reorder the terms:
6 + -3y = -6(-3 + y)
6 + -3y = (-3 * -6 + y * -6)
6 + -3y = (18 + -6y)

Solving
6 + -3y = 18 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
6 + -3y + 6y = 18 + -6y + 6y

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

Combine like terms: -6y + 6y = 0
6 + 3y = 18 + 0
6 + 3y = 18

Add '-6' to each side of the equation.
6 + -6 + 3y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = 18 + -6
3y = 18 + -6

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

Divide each side by '3'.
y = 4

Simplifying
y = 4