-6y-6(-8y-1)=-3+3(-5-y)

Solution for -6y-6(-8y-1)=-3+3(-5-y) equation:

Simplifying
-6y + -6(-8y + -1) = -3 + 3(-5 + -1y)

Reorder the terms:
-6y + -6(-1 + -8y) = -3 + 3(-5 + -1y)
-6y + (-1 * -6 + -8y * -6) = -3 + 3(-5 + -1y)
-6y + (6 + 48y) = -3 + 3(-5 + -1y)

Reorder the terms:
6 + -6y + 48y = -3 + 3(-5 + -1y)

Combine like terms: -6y + 48y = 42y
6 + 42y = -3 + 3(-5 + -1y)
6 + 42y = -3 + (-5 * 3 + -1y * 3)
6 + 42y = -3 + (-15 + -3y)

Combine like terms: -3 + -15 = -18
6 + 42y = -18 + -3y

Solving
6 + 42y = -18 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
6 + 42y + 3y = -18 + -3y + 3y

Combine like terms: 42y + 3y = 45y
6 + 45y = -18 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + 45y = -18 + 0
6 + 45y = -18

Add '-6' to each side of the equation.
6 + -6 + 45y = -18 + -6

Combine like terms: 6 + -6 = 0
0 + 45y = -18 + -6
45y = -18 + -6

Combine like terms: -18 + -6 = -24
45y = -24

Divide each side by '45'.
y = -0.5333333333

Simplifying
y = -0.5333333333