8-2(y+1)=3y+1

Solution for 8-2(y+1)=3y+1 equation:

Simplifying
8 + -2(y + 1) = 3y + 1

Reorder the terms:
8 + -2(1 + y) = 3y + 1
8 + (1 * -2 + y * -2) = 3y + 1
8 + (-2 + -2y) = 3y + 1

Combine like terms: 8 + -2 = 6
6 + -2y = 3y + 1

Reorder the terms:
6 + -2y = 1 + 3y

Solving
6 + -2y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + -2y + -3y = 1 + 3y + -3y

Combine like terms: -2y + -3y = -5y
6 + -5y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -5y = 1 + 0
6 + -5y = 1

Add '-6' to each side of the equation.
6 + -6 + -5y = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = 1 + -6
-5y = 1 + -6

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

Divide each side by '-5'.
y = 1

Simplifying
y = 1