-6(y+7)=-5y-6

Solution for -6(y+7)=-5y-6 equation:

Simplifying
-6(y + 7) = -5y + -6

Reorder the terms:
-6(7 + y) = -5y + -6
(7 * -6 + y * -6) = -5y + -6
(-42 + -6y) = -5y + -6

Reorder the terms:
-42 + -6y = -6 + -5y

Solving
-42 + -6y = -6 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-42 + -6y + 5y = -6 + -5y + 5y

Combine like terms: -6y + 5y = -1y
-42 + -1y = -6 + -5y + 5y

Combine like terms: -5y + 5y = 0
-42 + -1y = -6 + 0
-42 + -1y = -6

Add '42' to each side of the equation.
-42 + 42 + -1y = -6 + 42

Combine like terms: -42 + 42 = 0
0 + -1y = -6 + 42
-1y = -6 + 42

Combine like terms: -6 + 42 = 36
-1y = 36

Divide each side by '-1'.
y = -36

Simplifying
y = -36