18+3(y-4)=5(y+4)

Solution for 18+3(y-4)=5(y+4) equation:

Simplifying
18 + 3(y + -4) = 5(y + 4)

Reorder the terms:
18 + 3(-4 + y) = 5(y + 4)
18 + (-4 * 3 + y * 3) = 5(y + 4)
18 + (-12 + 3y) = 5(y + 4)

Combine like terms: 18 + -12 = 6
6 + 3y = 5(y + 4)

Reorder the terms:
6 + 3y = 5(4 + y)
6 + 3y = (4 * 5 + y * 5)
6 + 3y = (20 + 5y)

Solving
6 + 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.
6 + 3y + -5y = 20 + 5y + -5y

Combine like terms: 3y + -5y = -2y
6 + -2y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -2y = 20 + 0
6 + -2y = 20

Add '-6' to each side of the equation.
6 + -6 + -2y = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 20 + -6
-2y = 20 + -6

Combine like terms: 20 + -6 = 14
-2y = 14

Divide each side by '-2'.
y = -7

Simplifying
y = -7