3(x+y)y-6xy=3(9-xy)

Solution for 3(x+y)y-6xy=3(9-xy) equation:

Simplifying
3(x + y) * y + -6xy = 3(9 + -1xy)

Reorder the terms for easier multiplication:
3y(x + y) + -6xy = 3(9 + -1xy)
(x * 3y + y * 3y) + -6xy = 3(9 + -1xy)
(3xy + 3y2) + -6xy = 3(9 + -1xy)

Reorder the terms:
3xy + -6xy + 3y2 = 3(9 + -1xy)

Combine like terms: 3xy + -6xy = -3xy
-3xy + 3y2 = 3(9 + -1xy)
-3xy + 3y2 = (9 * 3 + -1xy * 3)
-3xy + 3y2 = (27 + -3xy)

Add '3xy' to each side of the equation.
-3xy + 3xy + 3y2 = 27 + -3xy + 3xy

Combine like terms: -3xy + 3xy = 0
0 + 3y2 = 27 + -3xy + 3xy
3y2 = 27 + -3xy + 3xy

Combine like terms: -3xy + 3xy = 0
3y2 = 27 + 0
3y2 = 27

Solving
3y2 = 27

Solving for variable 'y'.

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

Divide each side by '3'.
y2 = 9

Simplifying
y2 = 9

Take the square root of each side:
y = {-3, 3}