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

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


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

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

Combine like terms: 6 + 6 = 12
12 + -2y = 3(2y + -4)

Reorder the terms:
12 + -2y = 3(-4 + 2y)
12 + -2y = (-4 * 3 + 2y * 3)
12 + -2y = (-12 + 6y)

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

Solving for variable 'y'.

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

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

Combine like terms: -2y + -6y = -8y
12 + -8y = -12 + 6y + -6y

Combine like terms: 6y + -6y = 0
12 + -8y = -12 + 0
12 + -8y = -12

Add '-12' to each side of the equation.
12 + -12 + -8y = -12 + -12

Combine like terms: 12 + -12 = 0
0 + -8y = -12 + -12
-8y = -12 + -12

Combine like terms: -12 + -12 = -24
-8y = -24

Divide each side by '-8'.
y = 3

Simplifying
y = 3

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