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

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


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

Reorder the terms:
-4(-3 + 3y) + -1y = 2(y + -3)
(-3 * -4 + 3y * -4) + -1y = 2(y + -3)
(12 + -12y) + -1y = 2(y + -3)

Combine like terms: -12y + -1y = -13y
12 + -13y = 2(y + -3)

Reorder the terms:
12 + -13y = 2(-3 + y)
12 + -13y = (-3 * 2 + y * 2)
12 + -13y = (-6 + 2y)

Solving
12 + -13y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
12 + -13y + -2y = -6 + 2y + -2y

Combine like terms: -13y + -2y = -15y
12 + -15y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + -15y = -6 + 0
12 + -15y = -6

Add '-12' to each side of the equation.
12 + -12 + -15y = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -15y = -6 + -12
-15y = -6 + -12

Combine like terms: -6 + -12 = -18
-15y = -18

Divide each side by '-15'.
y = 1.2

Simplifying
y = 1.2

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