6(1-y)+5y=1

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

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

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

Solving
6 + -1y = 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 + -1y = 1 + -6

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

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

Divide each side by '-1'.
y = 5

Simplifying
y = 5