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

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

Simplifying
6(1 + 7y) + -7y = 1
(1 * 6 + 7y * 6) + -7y = 1
(6 + 42y) + -7y = 1

Combine like terms: 42y + -7y = 35y
6 + 35y = 1

Solving
6 + 35y = 1

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 + -6 + 35y = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 35y = 1 + -6
35y = 1 + -6

Combine like terms: 1 + -6 = -5
35y = -5

Divide each side by '35'.
y = -0.1428571429

Simplifying
y = -0.1428571429