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

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

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

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

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

Solving
-6 + 4y = 8 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-6 + 4y + -8y = 8 + 8y + -8y

Combine like terms: 4y + -8y = -4y
-6 + -4y = 8 + 8y + -8y

Combine like terms: 8y + -8y = 0
-6 + -4y = 8 + 0
-6 + -4y = 8

Add '6' to each side of the equation.
-6 + 6 + -4y = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -4y = 8 + 6
-4y = 8 + 6

Combine like terms: 8 + 6 = 14
-4y = 14

Divide each side by '-4'.
y = -3.5

Simplifying
y = -3.5