8y+3(y-6)=3(y+2)-3

Solution for 8y+3(y-6)=3(y+2)-3 equation:

Simplifying
8y + 3(y + -6) = 3(y + 2) + -3

Reorder the terms:
8y + 3(-6 + y) = 3(y + 2) + -3
8y + (-6 * 3 + y * 3) = 3(y + 2) + -3
8y + (-18 + 3y) = 3(y + 2) + -3

Reorder the terms:
-18 + 8y + 3y = 3(y + 2) + -3

Combine like terms: 8y + 3y = 11y
-18 + 11y = 3(y + 2) + -3

Reorder the terms:
-18 + 11y = 3(2 + y) + -3
-18 + 11y = (2 * 3 + y * 3) + -3
-18 + 11y = (6 + 3y) + -3

Reorder the terms:
-18 + 11y = 6 + -3 + 3y

Combine like terms: 6 + -3 = 3
-18 + 11y = 3 + 3y

Solving
-18 + 11y = 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.
-18 + 11y + -3y = 3 + 3y + -3y

Combine like terms: 11y + -3y = 8y
-18 + 8y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-18 + 8y = 3 + 0
-18 + 8y = 3

Add '18' to each side of the equation.
-18 + 18 + 8y = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 8y = 3 + 18
8y = 3 + 18

Combine like terms: 3 + 18 = 21
8y = 21

Divide each side by '8'.
y = 2.625

Simplifying
y = 2.625