(6+7y)+2(1-5y)=42

Solution for (6+7y)+2(1-5y)=42 equation:

Simplifying
(6 + 7y) + 2(1 + -5y) = 42

Remove parenthesis around (6 + 7y)
6 + 7y + 2(1 + -5y) = 42
6 + 7y + (1 * 2 + -5y * 2) = 42
6 + 7y + (2 + -10y) = 42

Reorder the terms:
6 + 2 + 7y + -10y = 42

Combine like terms: 6 + 2 = 8
8 + 7y + -10y = 42

Combine like terms: 7y + -10y = -3y
8 + -3y = 42

Solving
8 + -3y = 42

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + -3y = 42 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = 42 + -8
-3y = 42 + -8

Combine like terms: 42 + -8 = 34
-3y = 34

Divide each side by '-3'.
y = -11.33333333

Simplifying
y = -11.33333333