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

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


Simplifying
3(4 + -2y) = 4 + -3(y + -3)
(4 * 3 + -2y * 3) = 4 + -3(y + -3)
(12 + -6y) = 4 + -3(y + -3)

Reorder the terms:
12 + -6y = 4 + -3(-3 + y)
12 + -6y = 4 + (-3 * -3 + y * -3)
12 + -6y = 4 + (9 + -3y)

Combine like terms: 4 + 9 = 13
12 + -6y = 13 + -3y

Solving
12 + -6y = 13 + -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.
12 + -6y + 3y = 13 + -3y + 3y

Combine like terms: -6y + 3y = -3y
12 + -3y = 13 + -3y + 3y

Combine like terms: -3y + 3y = 0
12 + -3y = 13 + 0
12 + -3y = 13

Add '-12' to each side of the equation.
12 + -12 + -3y = 13 + -12

Combine like terms: 12 + -12 = 0
0 + -3y = 13 + -12
-3y = 13 + -12

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

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

Simplifying
y = -0.3333333333

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