2y+4z+6=0

Solution for 2y+4z+6=0 equation:

Simplifying
2y + 4z + 6 = 0

Reorder the terms:
6 + 2y + 4z = 0

Solving
6 + 2y + 4z = 0

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + 2y + -6 + 4z = 0 + -6

Reorder the terms:
6 + -6 + 2y + 4z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2y + 4z = 0 + -6
2y + 4z = 0 + -6

Combine like terms: 0 + -6 = -6
2y + 4z = -6

Add '-4z' to each side of the equation.
2y + 4z + -4z = -6 + -4z

Combine like terms: 4z + -4z = 0
2y + 0 = -6 + -4z
2y = -6 + -4z

Divide each side by '2'.
y = -3 + -2z

Simplifying
y = -3 + -2z