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

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


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

Reorder the terms:
-4(-4 + 3y) + -1y = -3(y + -5)
(-4 * -4 + 3y * -4) + -1y = -3(y + -5)
(16 + -12y) + -1y = -3(y + -5)

Combine like terms: -12y + -1y = -13y
16 + -13y = -3(y + -5)

Reorder the terms:
16 + -13y = -3(-5 + y)
16 + -13y = (-5 * -3 + y * -3)
16 + -13y = (15 + -3y)

Solving
16 + -13y = 15 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
16 + -13y + 3y = 15 + -3y + 3y

Combine like terms: -13y + 3y = -10y
16 + -10y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
16 + -10y = 15 + 0
16 + -10y = 15

Add '-16' to each side of the equation.
16 + -16 + -10y = 15 + -16

Combine like terms: 16 + -16 = 0
0 + -10y = 15 + -16
-10y = 15 + -16

Combine like terms: 15 + -16 = -1
-10y = -1

Divide each side by '-10'.
y = 0.1

Simplifying
y = 0.1

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