-6(y-1)=-5y-2

Solution for -6(y-1)=-5y-2 equation:

Simplifying
-6(y + -1) = -5y + -2

Reorder the terms:
-6(-1 + y) = -5y + -2
(-1 * -6 + y * -6) = -5y + -2
(6 + -6y) = -5y + -2

Reorder the terms:
6 + -6y = -2 + -5y

Solving
6 + -6y = -2 + -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.
6 + -6y + 5y = -2 + -5y + 5y

Combine like terms: -6y + 5y = -1y
6 + -1y = -2 + -5y + 5y

Combine like terms: -5y + 5y = 0
6 + -1y = -2 + 0
6 + -1y = -2

Add '-6' to each side of the equation.
6 + -6 + -1y = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = -2 + -6
-1y = -2 + -6

Combine like terms: -2 + -6 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8