-3(3y-6)-y=-4(y-4)

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Solution for -3(3y-6)-y=-4(y-4) equation:


Simplifying
-3(3y + -6) + -1y = -4(y + -4)

Reorder the terms:
-3(-6 + 3y) + -1y = -4(y + -4)
(-6 * -3 + 3y * -3) + -1y = -4(y + -4)
(18 + -9y) + -1y = -4(y + -4)

Combine like terms: -9y + -1y = -10y
18 + -10y = -4(y + -4)

Reorder the terms:
18 + -10y = -4(-4 + y)
18 + -10y = (-4 * -4 + y * -4)
18 + -10y = (16 + -4y)

Solving
18 + -10y = 16 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
18 + -10y + 4y = 16 + -4y + 4y

Combine like terms: -10y + 4y = -6y
18 + -6y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
18 + -6y = 16 + 0
18 + -6y = 16

Add '-18' to each side of the equation.
18 + -18 + -6y = 16 + -18

Combine like terms: 18 + -18 = 0
0 + -6y = 16 + -18
-6y = 16 + -18

Combine like terms: 16 + -18 = -2
-6y = -2

Divide each side by '-6'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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