0.2(4y+3)=0.6(4y-1)

Solution for 0.2(4y+3)=0.6(4y-1) equation:

Simplifying
0.2(4y + 3) = 0.6(4y + -1)

Reorder the terms:
0.2(3 + 4y) = 0.6(4y + -1)
(3 * 0.2 + 4y * 0.2) = 0.6(4y + -1)
(0.6 + 0.8y) = 0.6(4y + -1)

Reorder the terms:
0.6 + 0.8y = 0.6(-1 + 4y)
0.6 + 0.8y = (-1 * 0.6 + 4y * 0.6)
0.6 + 0.8y = (-0.6 + 2.4y)

Solving
0.6 + 0.8y = -0.6 + 2.4y

Solving for variable 'y'.

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

Add '-2.4y' to each side of the equation.
0.6 + 0.8y + -2.4y = -0.6 + 2.4y + -2.4y

Combine like terms: 0.8y + -2.4y = -1.6y
0.6 + -1.6y = -0.6 + 2.4y + -2.4y

Combine like terms: 2.4y + -2.4y = 0.0
0.6 + -1.6y = -0.6 + 0.0
0.6 + -1.6y = -0.6

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -1.6y = -0.6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.6y = -0.6 + -0.6
-1.6y = -0.6 + -0.6

Combine like terms: -0.6 + -0.6 = -1.2
-1.6y = -1.2

Divide each side by '-1.6'.
y = 0.75

Simplifying
y = 0.75