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

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

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

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

Reorder the terms:
6 + 4y = -2(-5 + 3y)
6 + 4y = (-5 * -2 + 3y * -2)
6 + 4y = (10 + -6y)

Solving
6 + 4y = 10 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
6 + 4y + 6y = 10 + -6y + 6y

Combine like terms: 4y + 6y = 10y
6 + 10y = 10 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + 10y = 10 + 0
6 + 10y = 10

Add '-6' to each side of the equation.
6 + -6 + 10y = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 10y = 10 + -6
10y = 10 + -6

Combine like terms: 10 + -6 = 4
10y = 4

Divide each side by '10'.
y = 0.4

Simplifying
y = 0.4