6(6+y)=5(y-7)

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

Simplifying
6(6 + y) = 5(y + -7)
(6 * 6 + y * 6) = 5(y + -7)
(36 + 6y) = 5(y + -7)

Reorder the terms:
36 + 6y = 5(-7 + y)
36 + 6y = (-7 * 5 + y * 5)
36 + 6y = (-35 + 5y)

Solving
36 + 6y = -35 + 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.
36 + 6y + -5y = -35 + 5y + -5y

Combine like terms: 6y + -5y = 1y
36 + 1y = -35 + 5y + -5y

Combine like terms: 5y + -5y = 0
36 + 1y = -35 + 0
36 + 1y = -35

Add '-36' to each side of the equation.
36 + -36 + 1y = -35 + -36

Combine like terms: 36 + -36 = 0
0 + 1y = -35 + -36
1y = -35 + -36

Combine like terms: -35 + -36 = -71
1y = -71

Divide each side by '1'.
y = -71

Simplifying
y = -71