-4y+6=-2(3y+3)

Solution for -4y+6=-2(3y+3) equation:

Simplifying
-4y + 6 = -2(3y + 3)

Reorder the terms:
6 + -4y = -2(3y + 3)

Reorder the terms:
6 + -4y = -2(3 + 3y)
6 + -4y = (3 * -2 + 3y * -2)
6 + -4y = (-6 + -6y)

Solving
6 + -4y = -6 + -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 + -4y + 6y = -6 + -6y + 6y

Combine like terms: -4y + 6y = 2y
6 + 2y = -6 + -6y + 6y

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

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

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

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

Divide each side by '2'.
y = -6

Simplifying
y = -6