-2(y-4)-(3y-1)=-2+5(y+1)

Solution for -2(y-4)-(3y-1)=-2+5(y+1) equation:

Simplifying
-2(y + -4) + -1(3y + -1) = -2 + 5(y + 1)

Reorder the terms:
-2(-4 + y) + -1(3y + -1) = -2 + 5(y + 1)
(-4 * -2 + y * -2) + -1(3y + -1) = -2 + 5(y + 1)
(8 + -2y) + -1(3y + -1) = -2 + 5(y + 1)

Reorder the terms:
8 + -2y + -1(-1 + 3y) = -2 + 5(y + 1)
8 + -2y + (-1 * -1 + 3y * -1) = -2 + 5(y + 1)
8 + -2y + (1 + -3y) = -2 + 5(y + 1)

Reorder the terms:
8 + 1 + -2y + -3y = -2 + 5(y + 1)

Combine like terms: 8 + 1 = 9
9 + -2y + -3y = -2 + 5(y + 1)

Combine like terms: -2y + -3y = -5y
9 + -5y = -2 + 5(y + 1)

Reorder the terms:
9 + -5y = -2 + 5(1 + y)
9 + -5y = -2 + (1 * 5 + y * 5)
9 + -5y = -2 + (5 + 5y)

Combine like terms: -2 + 5 = 3
9 + -5y = 3 + 5y

Solving
9 + -5y = 3 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
9 + -5y + -5y = 3 + 5y + -5y

Combine like terms: -5y + -5y = -10y
9 + -10y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -10y = 3 + 0
9 + -10y = 3

Add '-9' to each side of the equation.
9 + -9 + -10y = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -10y = 3 + -9
-10y = 3 + -9

Combine like terms: 3 + -9 = -6
-10y = -6

Divide each side by '-10'.
y = 0.6

Simplifying
y = 0.6