4+0.4(6-y)=1.7y-3(y-0.5)

Solution for 4+0.4(6-y)=1.7y-3(y-0.5) equation:

Simplifying
4 + 0.4(6 + -1y) = 1.7y + -3(y + -0.5)
4 + (6 * 0.4 + -1y * 0.4) = 1.7y + -3(y + -0.5)
4 + (2.4 + -0.4y) = 1.7y + -3(y + -0.5)

Combine like terms: 4 + 2.4 = 6.4
6.4 + -0.4y = 1.7y + -3(y + -0.5)

Reorder the terms:
6.4 + -0.4y = 1.7y + -3(-0.5 + y)
6.4 + -0.4y = 1.7y + (-0.5 * -3 + y * -3)
6.4 + -0.4y = 1.7y + (1.5 + -3y)

Reorder the terms:
6.4 + -0.4y = 1.5 + 1.7y + -3y

Combine like terms: 1.7y + -3y = -1.3y
6.4 + -0.4y = 1.5 + -1.3y

Solving
6.4 + -0.4y = 1.5 + -1.3y

Solving for variable 'y'.

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

Add '1.3y' to each side of the equation.
6.4 + -0.4y + 1.3y = 1.5 + -1.3y + 1.3y

Combine like terms: -0.4y + 1.3y = 0.9y
6.4 + 0.9y = 1.5 + -1.3y + 1.3y

Combine like terms: -1.3y + 1.3y = 0.0
6.4 + 0.9y = 1.5 + 0.0
6.4 + 0.9y = 1.5

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 0.9y = 1.5 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.9y = 1.5 + -6.4
0.9y = 1.5 + -6.4

Combine like terms: 1.5 + -6.4 = -4.9
0.9y = -4.9

Divide each side by '0.9'.
y = -5.444444444

Simplifying
y = -5.444444444