2(2y-3)=2(y+1)

Solution for 2(2y-3)=2(y+1) equation:

Simplifying
2(2y + -3) = 2(y + 1)

Reorder the terms:
2(-3 + 2y) = 2(y + 1)
(-3 * 2 + 2y * 2) = 2(y + 1)
(-6 + 4y) = 2(y + 1)

Reorder the terms:
-6 + 4y = 2(1 + y)
-6 + 4y = (1 * 2 + y * 2)
-6 + 4y = (2 + 2y)

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

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

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

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

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

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

Divide each side by '2'.
y = 4

Simplifying
y = 4