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

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

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

Reorder the terms:
Y + 5 + -4(-1 + -5y) = 3(y + -2)
Y + 5 + (-1 * -4 + -5y * -4) = 3(y + -2)
Y + 5 + (4 + 20y) = 3(y + -2)

Reorder the terms:
5 + 4 + Y + 20y = 3(y + -2)

Combine like terms: 5 + 4 = 9
9 + Y + 20y = 3(y + -2)

Reorder the terms:
9 + Y + 20y = 3(-2 + y)
9 + Y + 20y = (-2 * 3 + y * 3)
9 + Y + 20y = (-6 + 3y)

Solving
9 + Y + 20y = -6 + 3y

Solving for variable 'Y'.

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

Add '-9' to each side of the equation.
9 + Y + -9 + 20y = -6 + -9 + 3y

Reorder the terms:
9 + -9 + Y + 20y = -6 + -9 + 3y

Combine like terms: 9 + -9 = 0
0 + Y + 20y = -6 + -9 + 3y
Y + 20y = -6 + -9 + 3y

Combine like terms: -6 + -9 = -15
Y + 20y = -15 + 3y

Add '-20y' to each side of the equation.
Y + 20y + -20y = -15 + 3y + -20y

Combine like terms: 20y + -20y = 0
Y + 0 = -15 + 3y + -20y
Y = -15 + 3y + -20y

Combine like terms: 3y + -20y = -17y
Y = -15 + -17y

Simplifying
Y = -15 + -17y