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

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

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

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

Combine like terms: 6 + -24 = -18
-18 + -3y = 3 + -5y

Solving
-18 + -3y = 3 + -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.
-18 + -3y + 5y = 3 + -5y + 5y

Combine like terms: -3y + 5y = 2y
-18 + 2y = 3 + -5y + 5y

Combine like terms: -5y + 5y = 0
-18 + 2y = 3 + 0
-18 + 2y = 3

Add '18' to each side of the equation.
-18 + 18 + 2y = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 2y = 3 + 18
2y = 3 + 18

Combine like terms: 3 + 18 = 21
2y = 21

Divide each side by '2'.
y = 10.5

Simplifying
y = 10.5