6(y+1)=5y-1

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

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

Reorder the terms:
6(1 + y) = 5y + -1
(1 * 6 + y * 6) = 5y + -1
(6 + 6y) = 5y + -1

Reorder the terms:
6 + 6y = -1 + 5y

Solving
6 + 6y = -1 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
6 + 6y + -5y = -1 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
6 + 1y = -1 + 0
6 + 1y = -1

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 = -7
1y = -7

Divide each side by '1'.
y = -7

Simplifying
y = -7