6-2(y-5)=12+3(2y-4)

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Solution for 6-2(y-5)=12+3(2y-4) equation: 


Simplifying
6 + -2(y + -5) = 12 + 3(2y + -4)

Reorder the terms:
6 + -2(-5 + y) = 12 + 3(2y + -4)
6 + (-5 * -2 + y * -2) = 12 + 3(2y + -4)
6 + (10 + -2y) = 12 + 3(2y + -4)

Combine like terms: 6 + 10 = 16
16 + -2y = 12 + 3(2y + -4)

Reorder the terms:
16 + -2y = 12 + 3(-4 + 2y)
16 + -2y = 12 + (-4 * 3 + 2y * 3)
16 + -2y = 12 + (-12 + 6y)

Combine like terms: 12 + -12 = 0
16 + -2y = 0 + 6y
16 + -2y = 6y

Solving
16 + -2y = 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.
16 + -2y + -6y = 6y + -6y

Combine like terms: -2y + -6y = -8y
16 + -8y = 6y + -6y

Combine like terms: 6y + -6y = 0
16 + -8y = 0

Add '-16' to each side of the equation.
16 + -16 + -8y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -8y = 0 + -16
-8y = 0 + -16

Combine like terms: 0 + -16 = -16
-8y = -16

Divide each side by '-8'.
y = 2

Simplifying
y = 2

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