6(y+1)=8y+22

Solution for 6(y+1)=8y+22 equation:

Simplifying
6(y + 1) = 8y + 22

Reorder the terms:
6(1 + y) = 8y + 22
(1 * 6 + y * 6) = 8y + 22
(6 + 6y) = 8y + 22

Reorder the terms:
6 + 6y = 22 + 8y

Solving
6 + 6y = 22 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
6 + 6y + -8y = 22 + 8y + -8y

Combine like terms: 6y + -8y = -2y
6 + -2y = 22 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + -2y = 22 + 0
6 + -2y = 22

Add '-6' to each side of the equation.
6 + -6 + -2y = 22 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 22 + -6
-2y = 22 + -6

Combine like terms: 22 + -6 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8