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

Solution for 6-(y+4)=5-2(y-1) equation:

Simplifying
6 + -1(y + 4) = 5 + -2(y + -1)

Reorder the terms:
6 + -1(4 + y) = 5 + -2(y + -1)
6 + (4 * -1 + y * -1) = 5 + -2(y + -1)
6 + (-4 + -1y) = 5 + -2(y + -1)

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

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

Combine like terms: 5 + 2 = 7
2 + -1y = 7 + -2y

Solving
2 + -1y = 7 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
2 + -1y + 2y = 7 + -2y + 2y

Combine like terms: -1y + 2y = 1y
2 + 1y = 7 + -2y + 2y

Combine like terms: -2y + 2y = 0
2 + 1y = 7 + 0
2 + 1y = 7

Add '-2' to each side of the equation.
2 + -2 + 1y = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 7 + -2
1y = 7 + -2

Combine like terms: 7 + -2 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5