5y+3(-8)=3(y+2)-3

Solution for 5y+3(-8)=3(y+2)-3 equation:

Simplifying
5y + 3(-8) = 3(y + 2) + -3

Multiply 3 * -8
5y + -24 = 3(y + 2) + -3

Reorder the terms:
-24 + 5y = 3(y + 2) + -3

Reorder the terms:
-24 + 5y = 3(2 + y) + -3
-24 + 5y = (2 * 3 + y * 3) + -3
-24 + 5y = (6 + 3y) + -3

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

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

Solving
-24 + 5y = 3 + 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.
-24 + 5y + -3y = 3 + 3y + -3y

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

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

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

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

Combine like terms: 3 + 24 = 27
2y = 27

Divide each side by '2'.
y = 13.5

Simplifying
y = 13.5