-(-y+42)=-2(y+6)

Solution for -(-y+42)=-2(y+6) equation:

Simplifying
-1(-1y + 42) = -2(y + 6)

Reorder the terms:
-1(42 + -1y) = -2(y + 6)
(42 * -1 + -1y * -1) = -2(y + 6)
(-42 + 1y) = -2(y + 6)

Reorder the terms:
-42 + 1y = -2(6 + y)
-42 + 1y = (6 * -2 + y * -2)
-42 + 1y = (-12 + -2y)

Solving
-42 + 1y = -12 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-42 + 1y + 2y = -12 + -2y + 2y

Combine like terms: 1y + 2y = 3y
-42 + 3y = -12 + -2y + 2y

Combine like terms: -2y + 2y = 0
-42 + 3y = -12 + 0
-42 + 3y = -12

Add '42' to each side of the equation.
-42 + 42 + 3y = -12 + 42

Combine like terms: -42 + 42 = 0
0 + 3y = -12 + 42
3y = -12 + 42

Combine like terms: -12 + 42 = 30
3y = 30

Divide each side by '3'.
y = 10

Simplifying
y = 10