(3y+9)(4-7)=0

Solution for (3y+9)(4-7)=0 equation:

Simplifying
(3y + 9)(4 + -7) = 0

Reorder the terms:
(9 + 3y)(4 + -7) = 0

Combine like terms: 4 + -7 = -3
(9 + 3y)(-3) = 0

Reorder the terms for easier multiplication:
-3(9 + 3y) = 0
(9 * -3 + 3y * -3) = 0
(-27 + -9y) = 0

Solving
-27 + -9y = 0

Solving for variable 'y'.

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

Add '27' to each side of the equation.
-27 + 27 + -9y = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -9y = 0 + 27
-9y = 0 + 27

Combine like terms: 0 + 27 = 27
-9y = 27

Divide each side by '-9'.
y = -3

Simplifying
y = -3