6(1+5y)=30y-z

Solution for 6(1+5y)=30y-z equation:

Simplifying
6(1 + 5y) = 30y + -1z
(1 * 6 + 5y * 6) = 30y + -1z
(6 + 30y) = 30y + -1z

Add '-30y' to each side of the equation.
6 + 30y + -30y = 30y + -30y + -1z

Combine like terms: 30y + -30y = 0
6 + 0 = 30y + -30y + -1z
6 = 30y + -30y + -1z

Combine like terms: 30y + -30y = 0
6 = 0 + -1z
6 = -1z

Solving
6 = -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
6 + z = -1z + z

Combine like terms: -1z + z = 0
6 + z = 0

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

Combine like terms: 6 + -6 = 0
0 + z = 0 + -6
z = 0 + -6

Combine like terms: 0 + -6 = -6
z = -6

Simplifying
z = -6