5y+6(3y-1)=y-(y+2)

Solution for 5y+6(3y-1)=y-(y+2) equation:

Simplifying
5y + 6(3y + -1) = y + -1(y + 2)

Reorder the terms:
5y + 6(-1 + 3y) = y + -1(y + 2)
5y + (-1 * 6 + 3y * 6) = y + -1(y + 2)
5y + (-6 + 18y) = y + -1(y + 2)

Reorder the terms:
-6 + 5y + 18y = y + -1(y + 2)

Combine like terms: 5y + 18y = 23y
-6 + 23y = y + -1(y + 2)

Reorder the terms:
-6 + 23y = y + -1(2 + y)
-6 + 23y = y + (2 * -1 + y * -1)
-6 + 23y = y + (-2 + -1y)

Reorder the terms:
-6 + 23y = -2 + y + -1y

Combine like terms: y + -1y = 0
-6 + 23y = -2 + 0
-6 + 23y = -2

Solving
-6 + 23y = -2

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 23y = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 23y = -2 + 6
23y = -2 + 6

Combine like terms: -2 + 6 = 4
23y = 4

Divide each side by '23'.
y = 0.1739130435

Simplifying
y = 0.1739130435