-2y+6=-2(3y+13)

Solution for -2y+6=-2(3y+13) equation:

Simplifying
-2y + 6 = -2(3y + 13)

Reorder the terms:
6 + -2y = -2(3y + 13)

Reorder the terms:
6 + -2y = -2(13 + 3y)
6 + -2y = (13 * -2 + 3y * -2)
6 + -2y = (-26 + -6y)

Solving
6 + -2y = -26 + -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 + -2y + 6y = -26 + -6y + 6y

Combine like terms: -2y + 6y = 4y
6 + 4y = -26 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + 4y = -26 + 0
6 + 4y = -26

Add '-6' to each side of the equation.
6 + -6 + 4y = -26 + -6

Combine like terms: 6 + -6 = 0
0 + 4y = -26 + -6
4y = -26 + -6

Combine like terms: -26 + -6 = -32
4y = -32

Divide each side by '4'.
y = -8

Simplifying
y = -8