6=4y+6(y+6)

Solution for 6=4y+6(y+6) equation:

Simplifying
6 = 4y + 6(y + 6)

Reorder the terms:
6 = 4y + 6(6 + y)
6 = 4y + (6 * 6 + y * 6)
6 = 4y + (36 + 6y)

Reorder the terms:
6 = 36 + 4y + 6y

Combine like terms: 4y + 6y = 10y
6 = 36 + 10y

Solving
6 = 36 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
6 + -10y = 36 + 10y + -10y

Combine like terms: 10y + -10y = 0
6 + -10y = 36 + 0
6 + -10y = 36

Add '-6' to each side of the equation.
6 + -6 + -10y = 36 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = 36 + -6
-10y = 36 + -6

Combine like terms: 36 + -6 = 30
-10y = 30

Divide each side by '-10'.
y = -3

Simplifying
y = -3