(2y+6)(7-1)=0

Solution for (2y+6)(7-1)=0 equation:

Simplifying
(2y + 6)(7 + -1) = 0

Reorder the terms:
(6 + 2y)(7 + -1) = 0

Combine like terms: 7 + -1 = 6
(6 + 2y)(6) = 0

Reorder the terms for easier multiplication:
6(6 + 2y) = 0
(6 * 6 + 2y * 6) = 0
(36 + 12y) = 0

Solving
36 + 12y = 0

Solving for variable 'y'.

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

Add '-36' to each side of the equation.
36 + -36 + 12y = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 12y = 0 + -36
12y = 0 + -36

Combine like terms: 0 + -36 = -36
12y = -36

Divide each side by '12'.
y = -3

Simplifying
y = -3