3y-2(y-1)=6-(4+1)

Solution for 3y-2(y-1)=6-(4+1) equation:

Simplifying
3y + -2(y + -1) = 6 + -1(4 + 1)

Reorder the terms:
3y + -2(-1 + y) = 6 + -1(4 + 1)
3y + (-1 * -2 + y * -2) = 6 + -1(4 + 1)
3y + (2 + -2y) = 6 + -1(4 + 1)

Reorder the terms:
2 + 3y + -2y = 6 + -1(4 + 1)

Combine like terms: 3y + -2y = 1y
2 + 1y = 6 + -1(4 + 1)

Combine like terms: 4 + 1 = 5
2 + 1y = 6 + -1(5)

Multiply -1 * 5
2 + 1y = 6 + -5

Combine like terms: 6 + -5 = 1
2 + 1y = 1

Solving
2 + 1y = 1

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 1y = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 1 + -2
1y = 1 + -2

Combine like terms: 1 + -2 = -1
1y = -1

Divide each side by '1'.
y = -1

Simplifying
y = -1