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

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


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

Reorder the terms:
3(-4 + y) = (3y + -5 + -4y)
(-4 * 3 + y * 3) = (3y + -5 + -4y)
(-12 + 3y) = (3y + -5 + -4y)

Reorder the terms:
-12 + 3y = (-5 + 3y + -4y)

Combine like terms: 3y + -4y = -1y
-12 + 3y = (-5 + -1y)

Remove parenthesis around (-5 + -1y)
-12 + 3y = -5 + -1y

Solving
-12 + 3y = -5 + -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.
-12 + 3y + y = -5 + -1y + y

Combine like terms: 3y + y = 4y
-12 + 4y = -5 + -1y + y

Combine like terms: -1y + y = 0
-12 + 4y = -5 + 0
-12 + 4y = -5

Add '12' to each side of the equation.
-12 + 12 + 4y = -5 + 12

Combine like terms: -12 + 12 = 0
0 + 4y = -5 + 12
4y = -5 + 12

Combine like terms: -5 + 12 = 7
4y = 7

Divide each side by '4'.
y = 1.75

Simplifying
y = 1.75

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