5(v+1)-y=2(y-1)+9

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Solution for 5(v+1)-y=2(y-1)+9 equation: 


Simplifying
5(v + 1) + -1y = 2(y + -1) + 9

Reorder the terms:
5(1 + v) + -1y = 2(y + -1) + 9
(1 * 5 + v * 5) + -1y = 2(y + -1) + 9
(5 + 5v) + -1y = 2(y + -1) + 9

Reorder the terms:
5 + 5v + -1y = 2(-1 + y) + 9
5 + 5v + -1y = (-1 * 2 + y * 2) + 9
5 + 5v + -1y = (-2 + 2y) + 9

Reorder the terms:
5 + 5v + -1y = -2 + 9 + 2y

Combine like terms: -2 + 9 = 7
5 + 5v + -1y = 7 + 2y

Solving
5 + 5v + -1y = 7 + 2y

Solving for variable 'v'.

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

Add '-5' to each side of the equation.
5 + 5v + -5 + -1y = 7 + -5 + 2y

Reorder the terms:
5 + -5 + 5v + -1y = 7 + -5 + 2y

Combine like terms: 5 + -5 = 0
0 + 5v + -1y = 7 + -5 + 2y
5v + -1y = 7 + -5 + 2y

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

Add 'y' to each side of the equation.
5v + -1y + y = 2 + 2y + y

Combine like terms: -1y + y = 0
5v + 0 = 2 + 2y + y
5v = 2 + 2y + y

Combine like terms: 2y + y = 3y
5v = 2 + 3y

Divide each side by '5'.
v = 0.4 + 0.6y

Simplifying
v = 0.4 + 0.6y

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