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

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

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

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

Reorder the terms:
6 + 2y = 4(5 + y)
6 + 2y = (5 * 4 + y * 4)
6 + 2y = (20 + 4y)

Solving
6 + 2y = 20 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + 2y + -4y = 20 + 4y + -4y

Combine like terms: 2y + -4y = -2y
6 + -2y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 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