3y-2(5y-3)=-1-3(-2-y)

Solution for 3y-2(5y-3)=-1-3(-2-y) equation:

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

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

Reorder the terms:
6 + 3y + -10y = -1 + -3(-2 + -1y)

Combine like terms: 3y + -10y = -7y
6 + -7y = -1 + -3(-2 + -1y)
6 + -7y = -1 + (-2 * -3 + -1y * -3)
6 + -7y = -1 + (6 + 3y)

Combine like terms: -1 + 6 = 5
6 + -7y = 5 + 3y

Solving
6 + -7y = 5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + -7y + -3y = 5 + 3y + -3y

Combine like terms: -7y + -3y = -10y
6 + -10y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -10y = 5 + 0
6 + -10y = 5

Add '-6' to each side of the equation.
6 + -6 + -10y = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = 5 + -6
-10y = 5 + -6

Combine like terms: 5 + -6 = -1
-10y = -1

Divide each side by '-10'.
y = 0.1

Simplifying
y = 0.1