8y+3(y-7)=3(y+2)-y

Solution for 8y+3(y-7)=3(y+2)-y equation:

Simplifying
8y + 3(y + -7) = 3(y + 2) + -1y

Reorder the terms:
8y + 3(-7 + y) = 3(y + 2) + -1y
8y + (-7 * 3 + y * 3) = 3(y + 2) + -1y
8y + (-21 + 3y) = 3(y + 2) + -1y

Reorder the terms:
-21 + 8y + 3y = 3(y + 2) + -1y

Combine like terms: 8y + 3y = 11y
-21 + 11y = 3(y + 2) + -1y

Reorder the terms:
-21 + 11y = 3(2 + y) + -1y
-21 + 11y = (2 * 3 + y * 3) + -1y
-21 + 11y = (6 + 3y) + -1y

Combine like terms: 3y + -1y = 2y
-21 + 11y = 6 + 2y

Solving
-21 + 11y = 6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-21 + 11y + -2y = 6 + 2y + -2y

Combine like terms: 11y + -2y = 9y
-21 + 9y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-21 + 9y = 6 + 0
-21 + 9y = 6

Add '21' to each side of the equation.
-21 + 21 + 9y = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 9y = 6 + 21
9y = 6 + 21

Combine like terms: 6 + 21 = 27
9y = 27

Divide each side by '9'.
y = 3

Simplifying
y = 3