2(4y+3)=2(y+9)

Solution for 2(4y+3)=2(y+9) equation:

Simplifying
2(4y + 3) = 2(y + 9)

Reorder the terms:
2(3 + 4y) = 2(y + 9)
(3 * 2 + 4y * 2) = 2(y + 9)
(6 + 8y) = 2(y + 9)

Reorder the terms:
6 + 8y = 2(9 + y)
6 + 8y = (9 * 2 + y * 2)
6 + 8y = (18 + 2y)

Solving
6 + 8y = 18 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
6 + 8y + -2y = 18 + 2y + -2y

Combine like terms: 8y + -2y = 6y
6 + 6y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 6y = 18 + 0
6 + 6y = 18

Add '-6' to each side of the equation.
6 + -6 + 6y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 6y = 18 + -6
6y = 18 + -6

Combine like terms: 18 + -6 = 12
6y = 12

Divide each side by '6'.
y = 2

Simplifying
y = 2