3(-2+4)-7(4y+6)=4

Solution for 3(-2+4)-7(4y+6)=4 equation:

Simplifying
3(-2 + 4) + -7(4y + 6) = 4

Combine like terms: -2 + 4 = 2
3(2) + -7(4y + 6) = 4

Multiply 3 * 2
6 + -7(4y + 6) = 4

Reorder the terms:
6 + -7(6 + 4y) = 4
6 + (6 * -7 + 4y * -7) = 4
6 + (-42 + -28y) = 4

Combine like terms: 6 + -42 = -36
-36 + -28y = 4

Solving
-36 + -28y = 4

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 + -28y = 4 + 36

Combine like terms: -36 + 36 = 0
0 + -28y = 4 + 36
-28y = 4 + 36

Combine like terms: 4 + 36 = 40
-28y = 40

Divide each side by '-28'.
y = -1.428571429

Simplifying
y = -1.428571429