3(y+13)=16y(1)

Solution for 3(y+13)=16y(1) equation:

Simplifying
3(y + 13) = 16y(1)

Reorder the terms:
3(13 + y) = 16y(1)
(13 * 3 + y * 3) = 16y(1)
(39 + 3y) = 16y(1)

Reorder the terms for easier multiplication:
39 + 3y = 16 * 1y

Multiply 16 * 1
39 + 3y = 16y

Solving
39 + 3y = 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
39 + 3y + -16y = 16y + -16y

Combine like terms: 3y + -16y = -13y
39 + -13y = 16y + -16y

Combine like terms: 16y + -16y = 0
39 + -13y = 0

Add '-39' to each side of the equation.
39 + -39 + -13y = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -13y = 0 + -39
-13y = 0 + -39

Combine like terms: 0 + -39 = -39
-13y = -39

Divide each side by '-13'.
y = 3

Simplifying
y = 3