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

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

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

Reorder the terms:
3 + 2(-2 + 4y) = -3(4y + -3) + 5y
3 + (-2 * 2 + 4y * 2) = -3(4y + -3) + 5y
3 + (-4 + 8y) = -3(4y + -3) + 5y

Combine like terms: 3 + -4 = -1
-1 + 8y = -3(4y + -3) + 5y

Reorder the terms:
-1 + 8y = -3(-3 + 4y) + 5y
-1 + 8y = (-3 * -3 + 4y * -3) + 5y
-1 + 8y = (9 + -12y) + 5y

Combine like terms: -12y + 5y = -7y
-1 + 8y = 9 + -7y

Solving
-1 + 8y = 9 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-1 + 8y + 7y = 9 + -7y + 7y

Combine like terms: 8y + 7y = 15y
-1 + 15y = 9 + -7y + 7y

Combine like terms: -7y + 7y = 0
-1 + 15y = 9 + 0
-1 + 15y = 9

Add '1' to each side of the equation.
-1 + 1 + 15y = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 15y = 9 + 1
15y = 9 + 1

Combine like terms: 9 + 1 = 10
15y = 10

Divide each side by '15'.
y = 0.6666666667

Simplifying
y = 0.6666666667