3y+6=5(y-2)

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

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

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

Reorder the terms:
6 + 3y = 5(-2 + y)
6 + 3y = (-2 * 5 + y * 5)
6 + 3y = (-10 + 5y)

Solving
6 + 3y = -10 + 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.
6 + 3y + -5y = -10 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
6 + -2y = -10 + 0
6 + -2y = -10

Add '-6' to each side of the equation.
6 + -6 + -2y = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = -10 + -6
-2y = -10 + -6

Combine like terms: -10 + -6 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8