6(y+1)=-2y+38

Solution for 6(y+1)=-2y+38 equation:

Simplifying
6(y + 1) = -2y + 38

Reorder the terms:
6(1 + y) = -2y + 38
(1 * 6 + y * 6) = -2y + 38
(6 + 6y) = -2y + 38

Reorder the terms:
6 + 6y = 38 + -2y

Solving
6 + 6y = 38 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
6 + 6y + 2y = 38 + -2y + 2y

Combine like terms: 6y + 2y = 8y
6 + 8y = 38 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + 8y = 38 + 0
6 + 8y = 38

Add '-6' to each side of the equation.
6 + -6 + 8y = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = 38 + -6
8y = 38 + -6

Combine like terms: 38 + -6 = 32
8y = 32

Divide each side by '8'.
y = 4

Simplifying
y = 4