2(y-3)=2(2y+3)

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

Simplifying
2(y + -3) = 2(2y + 3)

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

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

Solving
-6 + 2y = 6 + 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 = 6 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-6 + -2y = 6 + 0
-6 + -2y = 6

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

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

Combine like terms: 6 + 6 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6