-3(3y-2)-y=-4(y-2)

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


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

Reorder the terms:
-3(-2 + 3y) + -1y = -4(y + -2)
(-2 * -3 + 3y * -3) + -1y = -4(y + -2)
(6 + -9y) + -1y = -4(y + -2)

Combine like terms: -9y + -1y = -10y
6 + -10y = -4(y + -2)

Reorder the terms:
6 + -10y = -4(-2 + y)
6 + -10y = (-2 * -4 + y * -4)
6 + -10y = (8 + -4y)

Solving
6 + -10y = 8 + -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.
6 + -10y + 4y = 8 + -4y + 4y

Combine like terms: -10y + 4y = -6y
6 + -6y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
6 + -6y = 8 + 0
6 + -6y = 8

Add '-6' to each side of the equation.
6 + -6 + -6y = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -6y = 8 + -6
-6y = 8 + -6

Combine like terms: 8 + -6 = 2
-6y = 2

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

Simplifying
y = -0.3333333333

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