3(5y-2)-5.2(2y+3)=0.6-y

Solution for 3(5y-2)-5.2(2y+3)=0.6-y equation:

Simplifying
3(5y + -2) + -5.2(2y + 3) = 0.6 + -1y

Reorder the terms:
3(-2 + 5y) + -5.2(2y + 3) = 0.6 + -1y
(-2 * 3 + 5y * 3) + -5.2(2y + 3) = 0.6 + -1y
(-6 + 15y) + -5.2(2y + 3) = 0.6 + -1y

Reorder the terms:
-6 + 15y + -5.2(3 + 2y) = 0.6 + -1y
-6 + 15y + (3 * -5.2 + 2y * -5.2) = 0.6 + -1y
-6 + 15y + (-15.6 + -10.4y) = 0.6 + -1y

Reorder the terms:
-6 + -15.6 + 15y + -10.4y = 0.6 + -1y

Combine like terms: -6 + -15.6 = -21.6
-21.6 + 15y + -10.4y = 0.6 + -1y

Combine like terms: 15y + -10.4y = 4.6y
-21.6 + 4.6y = 0.6 + -1y

Solving
-21.6 + 4.6y = 0.6 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-21.6 + 4.6y + y = 0.6 + -1y + y

Combine like terms: 4.6y + y = 5.6y
-21.6 + 5.6y = 0.6 + -1y + y

Combine like terms: -1y + y = 0
-21.6 + 5.6y = 0.6 + 0
-21.6 + 5.6y = 0.6

Add '21.6' to each side of the equation.
-21.6 + 21.6 + 5.6y = 0.6 + 21.6

Combine like terms: -21.6 + 21.6 = 0.0
0.0 + 5.6y = 0.6 + 21.6
5.6y = 0.6 + 21.6

Combine like terms: 0.6 + 21.6 = 22.2
5.6y = 22.2

Divide each side by '5.6'.
y = 3.964285714

Simplifying
y = 3.964285714