6(y+1)=-y+7

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

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

Reorder the terms:
6(1 + y) = -1y + 7
(1 * 6 + y * 6) = -1y + 7
(6 + 6y) = -1y + 7

Reorder the terms:
6 + 6y = 7 + -1y

Solving
6 + 6y = 7 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
6 + 6y + y = 7 + -1y + y

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

Combine like terms: -1y + y = 0
6 + 7y = 7 + 0
6 + 7y = 7

Add '-6' to each side of the equation.
6 + -6 + 7y = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = 7 + -6
7y = 7 + -6

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

Divide each side by '7'.
y = 0.1428571429

Simplifying
y = 0.1428571429