6+3(y-2)=5(y+4)

Solution for 6+3(y-2)=5(y+4) equation:

Simplifying
6 + 3(y + -2) = 5(y + 4)

Reorder the terms:
6 + 3(-2 + y) = 5(y + 4)
6 + (-2 * 3 + y * 3) = 5(y + 4)
6 + (-6 + 3y) = 5(y + 4)

Combine like terms: 6 + -6 = 0
0 + 3y = 5(y + 4)
3y = 5(y + 4)

Reorder the terms:
3y = 5(4 + y)
3y = (4 * 5 + y * 5)
3y = (20 + 5y)

Solving
3y = 20 + 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.
3y + -5y = 20 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-2y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-2y = 20 + 0
-2y = 20

Divide each side by '-2'.
y = -10

Simplifying
y = -10