y(x+6)+7(x+6)=

Solution for y(x+6)+7(x+6)= equation:

Simplifying
y(x + 6) + 7(x + 6) = 0

Reorder the terms:
y(6 + x) + 7(x + 6) = 0
(6 * y + x * y) + 7(x + 6) = 0

Reorder the terms:
(xy + 6y) + 7(x + 6) = 0
(xy + 6y) + 7(x + 6) = 0

Reorder the terms:
xy + 6y + 7(6 + x) = 0
xy + 6y + (6 * 7 + x * 7) = 0
xy + 6y + (42 + 7x) = 0

Reorder the terms:
42 + 7x + xy + 6y = 0

Solving
42 + 7x + xy + 6y = 0

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + 7x + xy + -42 + 6y = 0 + -42

Reorder the terms:
42 + -42 + 7x + xy + 6y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 7x + xy + 6y = 0 + -42
7x + xy + 6y = 0 + -42

Combine like terms: 0 + -42 = -42
7x + xy + 6y = -42

Add '-6y' to each side of the equation.
7x + xy + 6y + -6y = -42 + -6y

Combine like terms: 6y + -6y = 0
7x + xy + 0 = -42 + -6y
7x + xy = -42 + -6y

Reorder the terms:
42 + 7x + xy + 6y = -42 + -6y + 42 + 6y

Reorder the terms:
42 + 7x + xy + 6y = -42 + 42 + -6y + 6y

Combine like terms: -42 + 42 = 0
42 + 7x + xy + 6y = 0 + -6y + 6y
42 + 7x + xy + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
42 + 7x + xy + 6y = 0

The solution to this equation could not be determined.