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

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

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

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

Reorder the terms:
3 + 3y + 2(-4 + y) = 2y + -1(y + -6)
3 + 3y + (-4 * 2 + y * 2) = 2y + -1(y + -6)
3 + 3y + (-8 + 2y) = 2y + -1(y + -6)

Reorder the terms:
3 + -8 + 3y + 2y = 2y + -1(y + -6)

Combine like terms: 3 + -8 = -5
-5 + 3y + 2y = 2y + -1(y + -6)

Combine like terms: 3y + 2y = 5y
-5 + 5y = 2y + -1(y + -6)

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

Reorder the terms:
-5 + 5y = 6 + 2y + -1y

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

Solving
-5 + 5y = 6 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-5 + 5y + -1y = 6 + 1y + -1y

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

Combine like terms: 1y + -1y = 0
-5 + 4y = 6 + 0
-5 + 4y = 6

Add '5' to each side of the equation.
-5 + 5 + 4y = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = 6 + 5
4y = 6 + 5

Combine like terms: 6 + 5 = 11
4y = 11

Divide each side by '4'.
y = 2.75

Simplifying
y = 2.75