5y-8+3(2y+6)=-3(y+2)

Solution for 5y-8+3(2y+6)=-3(y+2) equation:

Simplifying
5y + -8 + 3(2y + 6) = -3(y + 2)

Reorder the terms:
5y + -8 + 3(6 + 2y) = -3(y + 2)
5y + -8 + (6 * 3 + 2y * 3) = -3(y + 2)
5y + -8 + (18 + 6y) = -3(y + 2)

Reorder the terms:
-8 + 18 + 5y + 6y = -3(y + 2)

Combine like terms: -8 + 18 = 10
10 + 5y + 6y = -3(y + 2)

Combine like terms: 5y + 6y = 11y
10 + 11y = -3(y + 2)

Reorder the terms:
10 + 11y = -3(2 + y)
10 + 11y = (2 * -3 + y * -3)
10 + 11y = (-6 + -3y)

Solving
10 + 11y = -6 + -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.
10 + 11y + 3y = -6 + -3y + 3y

Combine like terms: 11y + 3y = 14y
10 + 14y = -6 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + 14y = -6 + 0
10 + 14y = -6

Add '-10' to each side of the equation.
10 + -10 + 14y = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 14y = -6 + -10
14y = -6 + -10

Combine like terms: -6 + -10 = -16
14y = -16

Divide each side by '14'.
y = -1.142857143

Simplifying
y = -1.142857143