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

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

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

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

Reorder the terms:
-6 + 15y + -5(3 + 2y) = 0.6 + -1y
-6 + 15y + (3 * -5 + 2y * -5) = 0.6 + -1y
-6 + 15y + (-15 + -10y) = 0.6 + -1y

Reorder the terms:
-6 + -15 + 15y + -10y = 0.6 + -1y

Combine like terms: -6 + -15 = -21
-21 + 15y + -10y = 0.6 + -1y

Combine like terms: 15y + -10y = 5y
-21 + 5y = 0.6 + -1y

Solving
-21 + 5y = 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 + 5y + y = 0.6 + -1y + y

Combine like terms: 5y + y = 6y
-21 + 6y = 0.6 + -1y + y

Combine like terms: -1y + y = 0
-21 + 6y = 0.6 + 0
-21 + 6y = 0.6

Add '21' to each side of the equation.
-21 + 21 + 6y = 0.6 + 21

Combine like terms: -21 + 21 = 0
0 + 6y = 0.6 + 21
6y = 0.6 + 21

Combine like terms: 0.6 + 21 = 21.6
6y = 21.6

Divide each side by '6'.
y = 3.6

Simplifying
y = 3.6