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

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


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

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

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

Reorder the terms:
-8 + -3 + 2y + 3y = 4v + -1y

Combine like terms: -8 + -3 = -11
-11 + 2y + 3y = 4v + -1y

Combine like terms: 2y + 3y = 5y
-11 + 5y = 4v + -1y

Solving
-11 + 5y = 4v + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-11 + 5y + y = 4v + -1y + y

Combine like terms: 5y + y = 6y
-11 + 6y = 4v + -1y + y

Combine like terms: -1y + y = 0
-11 + 6y = 4v + 0
-11 + 6y = 4v

Add '11' to each side of the equation.
-11 + 11 + 6y = 11 + 4v

Combine like terms: -11 + 11 = 0
0 + 6y = 11 + 4v
6y = 11 + 4v

Divide each side by '6'.
y = 1.833333333 + 0.6666666667v

Simplifying
y = 1.833333333 + 0.6666666667v

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