3(y+2)=8y+10

Solution for 3(y+2)=8y+10 equation:

Simplifying
3(y + 2) = 8y + 10

Reorder the terms:
3(2 + y) = 8y + 10
(2 * 3 + y * 3) = 8y + 10
(6 + 3y) = 8y + 10

Reorder the terms:
6 + 3y = 10 + 8y

Solving
6 + 3y = 10 + 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 = 10 + 8y + -8y

Combine like terms: 3y + -8y = -5y
6 + -5y = 10 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + -5y = 10 + 0
6 + -5y = 10

Add '-6' to each side of the equation.
6 + -6 + -5y = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = 10 + -6
-5y = 10 + -6

Combine like terms: 10 + -6 = 4
-5y = 4

Divide each side by '-5'.
y = -0.8

Simplifying
y = -0.8