3(v-5)+3=4(y-3)-v

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Solution for 3(v-5)+3=4(y-3)-v equation: 


Simplifying
3(v + -5) + 3 = 4(y + -3) + -1v

Reorder the terms:
3(-5 + v) + 3 = 4(y + -3) + -1v
(-5 * 3 + v * 3) + 3 = 4(y + -3) + -1v
(-15 + 3v) + 3 = 4(y + -3) + -1v

Reorder the terms:
-15 + 3 + 3v = 4(y + -3) + -1v

Combine like terms: -15 + 3 = -12
-12 + 3v = 4(y + -3) + -1v

Reorder the terms:
-12 + 3v = 4(-3 + y) + -1v
-12 + 3v = (-3 * 4 + y * 4) + -1v
-12 + 3v = (-12 + 4y) + -1v

Reorder the terms:
-12 + 3v = -12 + -1v + 4y

Add '12' to each side of the equation.
-12 + 12 + 3v = -12 + -1v + 12 + 4y

Combine like terms: -12 + 12 = 0
0 + 3v = -12 + -1v + 12 + 4y
3v = -12 + -1v + 12 + 4y

Reorder the terms:
3v = -12 + 12 + -1v + 4y

Combine like terms: -12 + 12 = 0
3v = 0 + -1v + 4y
3v = -1v + 4y

Solving
3v = -1v + 4y

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
3v + v = -1v + v + 4y

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

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

Divide each side by '4'.
v = y

Simplifying
v = y

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