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

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

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

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

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

Combine like terms: -5y + 2y = -3y
-3(-1 + -3y) = 3(4 + (2y + -1) + -1y)
(-1 * -3 + -3y * -3) = 3(4 + (2y + -1) + -1y)
(3 + 9y) = 3(4 + (2y + -1) + -1y)

Reorder the terms:
3 + 9y = 3(4 + (-1 + 2y) + -1y)

Remove parenthesis around (-1 + 2y)
3 + 9y = 3(4 + -1 + 2y + -1y)

Combine like terms: 4 + -1 = 3
3 + 9y = 3(3 + 2y + -1y)

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

Solving
3 + 9y = 9 + 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.
3 + 9y + -3y = 9 + 3y + -3y

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

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

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

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

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

Divide each side by '6'.
y = 1

Simplifying
y = 1