10-2(12y-3)=2(3y-2)

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Solution for 10-2(12y-3)=2(3y-2) equation:


Simplifying
10 + -2(12y + -3) = 2(3y + -2)

Reorder the terms:
10 + -2(-3 + 12y) = 2(3y + -2)
10 + (-3 * -2 + 12y * -2) = 2(3y + -2)
10 + (6 + -24y) = 2(3y + -2)

Combine like terms: 10 + 6 = 16
16 + -24y = 2(3y + -2)

Reorder the terms:
16 + -24y = 2(-2 + 3y)
16 + -24y = (-2 * 2 + 3y * 2)
16 + -24y = (-4 + 6y)

Solving
16 + -24y = -4 + 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 + -24y + -6y = -4 + 6y + -6y

Combine like terms: -24y + -6y = -30y
16 + -30y = -4 + 6y + -6y

Combine like terms: 6y + -6y = 0
16 + -30y = -4 + 0
16 + -30y = -4

Add '-16' to each side of the equation.
16 + -16 + -30y = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -30y = -4 + -16
-30y = -4 + -16

Combine like terms: -4 + -16 = -20
-30y = -20

Divide each side by '-30'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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