-3(2y-6)-7=-3(y-4)

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Solution for -3(2y-6)-7=-3(y-4) equation: 


Simplifying
-3(2y + -6) + -7 = -3(y + -4)

Reorder the terms:
-3(-6 + 2y) + -7 = -3(y + -4)
(-6 * -3 + 2y * -3) + -7 = -3(y + -4)
(18 + -6y) + -7 = -3(y + -4)

Reorder the terms:
18 + -7 + -6y = -3(y + -4)

Combine like terms: 18 + -7 = 11
11 + -6y = -3(y + -4)

Reorder the terms:
11 + -6y = -3(-4 + y)
11 + -6y = (-4 * -3 + y * -3)
11 + -6y = (12 + -3y)

Solving
11 + -6y = 12 + -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.
11 + -6y + 3y = 12 + -3y + 3y

Combine like terms: -6y + 3y = -3y
11 + -3y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
11 + -3y = 12 + 0
11 + -3y = 12

Add '-11' to each side of the equation.
11 + -11 + -3y = 12 + -11

Combine like terms: 11 + -11 = 0
0 + -3y = 12 + -11
-3y = 12 + -11

Combine like terms: 12 + -11 = 1
-3y = 1

Divide each side by '-3'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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