-6=3(y+2)-7y

Solution for -6=3(y+2)-7y equation:

Simplifying
-6 = 3(y + 2) + -7y

Reorder the terms:
-6 = 3(2 + y) + -7y
-6 = (2 * 3 + y * 3) + -7y
-6 = (6 + 3y) + -7y

Combine like terms: 3y + -7y = -4y
-6 = 6 + -4y

Solving
-6 = 6 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-6 + 4y = 6 + -4y + 4y

Combine like terms: -4y + 4y = 0
-6 + 4y = 6 + 0
-6 + 4y = 6

Add '6' to each side of the equation.
-6 + 6 + 4y = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 6 + 6
4y = 6 + 6

Combine like terms: 6 + 6 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3