y+(y+6)(-6)=y-6

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

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

Reorder the terms:
y + (6 + y)(-6) = y + -6

Reorder the terms for easier multiplication:
y + -6(6 + y) = y + -6
y + (6 * -6 + y * -6) = y + -6
y + (-36 + -6y) = y + -6

Reorder the terms:
-36 + y + -6y = y + -6

Combine like terms: y + -6y = -5y
-36 + -5y = y + -6

Reorder the terms:
-36 + -5y = -6 + y

Solving
-36 + -5y = -6 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-36 + -5y + -1y = -6 + y + -1y

Combine like terms: -5y + -1y = -6y
-36 + -6y = -6 + y + -1y

Combine like terms: y + -1y = 0
-36 + -6y = -6 + 0
-36 + -6y = -6

Add '36' to each side of the equation.
-36 + 36 + -6y = -6 + 36

Combine like terms: -36 + 36 = 0
0 + -6y = -6 + 36
-6y = -6 + 36

Combine like terms: -6 + 36 = 30
-6y = 30

Divide each side by '-6'.
y = -5

Simplifying
y = -5