6(y+1)=-8y+34

Solution for 6(y+1)=-8y+34 equation:

Simplifying
6(y + 1) = -8y + 34

Reorder the terms:
6(1 + y) = -8y + 34
(1 * 6 + y * 6) = -8y + 34
(6 + 6y) = -8y + 34

Reorder the terms:
6 + 6y = 34 + -8y

Solving
6 + 6y = 34 + -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 = 34 + -8y + 8y

Combine like terms: 6y + 8y = 14y
6 + 14y = 34 + -8y + 8y

Combine like terms: -8y + 8y = 0
6 + 14y = 34 + 0
6 + 14y = 34

Add '-6' to each side of the equation.
6 + -6 + 14y = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 14y = 34 + -6
14y = 34 + -6

Combine like terms: 34 + -6 = 28
14y = 28

Divide each side by '14'.
y = 2

Simplifying
y = 2