3(y-8)=5y+6

Solution for 3(y-8)=5y+6 equation:

Simplifying
3(y + -8) = 5y + 6

Reorder the terms:
3(-8 + y) = 5y + 6
(-8 * 3 + y * 3) = 5y + 6
(-24 + 3y) = 5y + 6

Reorder the terms:
-24 + 3y = 6 + 5y

Solving
-24 + 3y = 6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-24 + 3y + -5y = 6 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-24 + -2y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
-24 + -2y = 6 + 0
-24 + -2y = 6

Add '24' to each side of the equation.
-24 + 24 + -2y = 6 + 24

Combine like terms: -24 + 24 = 0
0 + -2y = 6 + 24
-2y = 6 + 24

Combine like terms: 6 + 24 = 30
-2y = 30

Divide each side by '-2'.
y = -15

Simplifying
y = -15