24y-2(6-y)=6(6y+2)

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Solution for 24y-2(6-y)=6(6y+2) equation:


Simplifying
24y + -2(6 + -1y) = 6(6y + 2)
24y + (6 * -2 + -1y * -2) = 6(6y + 2)
24y + (-12 + 2y) = 6(6y + 2)

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

Combine like terms: 24y + 2y = 26y
-12 + 26y = 6(6y + 2)

Reorder the terms:
-12 + 26y = 6(2 + 6y)
-12 + 26y = (2 * 6 + 6y * 6)
-12 + 26y = (12 + 36y)

Solving
-12 + 26y = 12 + 36y

Solving for variable 'y'.

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

Add '-36y' to each side of the equation.
-12 + 26y + -36y = 12 + 36y + -36y

Combine like terms: 26y + -36y = -10y
-12 + -10y = 12 + 36y + -36y

Combine like terms: 36y + -36y = 0
-12 + -10y = 12 + 0
-12 + -10y = 12

Add '12' to each side of the equation.
-12 + 12 + -10y = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -10y = 12 + 12
-10y = 12 + 12

Combine like terms: 12 + 12 = 24
-10y = 24

Divide each side by '-10'.
y = -2.4

Simplifying
y = -2.4

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