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

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

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

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

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

Solving
6 + -2y = -6 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
6 + -2y + 4y = -6 + -4y + 4y

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

Combine like terms: -4y + 4y = 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