5y+3(y-8)=5(y+1)-3

Solution for 5y+3(y-8)=5(y+1)-3 equation:

Simplifying
5y + 3(y + -8) = 5(y + 1) + -3

Reorder the terms:
5y + 3(-8 + y) = 5(y + 1) + -3
5y + (-8 * 3 + y * 3) = 5(y + 1) + -3
5y + (-24 + 3y) = 5(y + 1) + -3

Reorder the terms:
-24 + 5y + 3y = 5(y + 1) + -3

Combine like terms: 5y + 3y = 8y
-24 + 8y = 5(y + 1) + -3

Reorder the terms:
-24 + 8y = 5(1 + y) + -3
-24 + 8y = (1 * 5 + y * 5) + -3
-24 + 8y = (5 + 5y) + -3

Reorder the terms:
-24 + 8y = 5 + -3 + 5y

Combine like terms: 5 + -3 = 2
-24 + 8y = 2 + 5y

Solving
-24 + 8y = 2 + 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 + 8y + -5y = 2 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-24 + 3y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-24 + 3y = 2 + 0
-24 + 3y = 2

Add '24' to each side of the equation.
-24 + 24 + 3y = 2 + 24

Combine like terms: -24 + 24 = 0
0 + 3y = 2 + 24
3y = 2 + 24

Combine like terms: 2 + 24 = 26
3y = 26

Divide each side by '3'.
y = 8.666666667

Simplifying
y = 8.666666667