-0.5(4y-3)=0.5(6-3y)

Solution for -0.5(4y-3)=0.5(6-3y) equation:

Simplifying
-0.5(4y + -3) = 0.5(6 + -3y)

Reorder the terms:
-0.5(-3 + 4y) = 0.5(6 + -3y)
(-3 * -0.5 + 4y * -0.5) = 0.5(6 + -3y)
(1.5 + -2y) = 0.5(6 + -3y)
1.5 + -2y = (6 * 0.5 + -3y * 0.5)
1.5 + -2y = (3 + -1.5y)

Solving
1.5 + -2y = 3 + -1.5y

Solving for variable 'y'.

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

Add '1.5y' to each side of the equation.
1.5 + -2y + 1.5y = 3 + -1.5y + 1.5y

Combine like terms: -2y + 1.5y = -0.5y
1.5 + -0.5y = 3 + -1.5y + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0
1.5 + -0.5y = 3 + 0.0
1.5 + -0.5y = 3

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.5y = 3 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5y = 3 + -1.5
-0.5y = 3 + -1.5

Combine like terms: 3 + -1.5 = 1.5
-0.5y = 1.5

Divide each side by '-0.5'.
y = -3

Simplifying
y = -3