3(y+2)=8y+1

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

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

Reorder the terms:
3(2 + y) = 8y + 1
(2 * 3 + y * 3) = 8y + 1
(6 + 3y) = 8y + 1

Reorder the terms:
6 + 3y = 1 + 8y

Solving
6 + 3y = 1 + 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 + 3y + -8y = 1 + 8y + -8y

Combine like terms: 3y + -8y = -5y
6 + -5y = 1 + 8y + -8y

Combine like terms: 8y + -8y = 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