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

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

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

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

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

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

Combine like terms: 3y + y = 4y
-6 + -3v = -3 + 4y

Solving
-6 + -3v = -3 + 4y

Solving for variable 'v'.

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

Add '6' to each side of the equation.
-6 + 6 + -3v = -3 + 6 + 4y

Combine like terms: -6 + 6 = 0
0 + -3v = -3 + 6 + 4y
-3v = -3 + 6 + 4y

Combine like terms: -3 + 6 = 3
-3v = 3 + 4y

Divide each side by '-3'.
v = -1 + -1.333333333y

Simplifying
v = -1 + -1.333333333y