3(4-y)=12-2(5y-1)

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Solution for 3(4-y)=12-2(5y-1) equation:


Simplifying
3(4 + -1y) = 12 + -2(5y + -1)
(4 * 3 + -1y * 3) = 12 + -2(5y + -1)
(12 + -3y) = 12 + -2(5y + -1)

Reorder the terms:
12 + -3y = 12 + -2(-1 + 5y)
12 + -3y = 12 + (-1 * -2 + 5y * -2)
12 + -3y = 12 + (2 + -10y)

Combine like terms: 12 + 2 = 14
12 + -3y = 14 + -10y

Solving
12 + -3y = 14 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
12 + -3y + 10y = 14 + -10y + 10y

Combine like terms: -3y + 10y = 7y
12 + 7y = 14 + -10y + 10y

Combine like terms: -10y + 10y = 0
12 + 7y = 14 + 0
12 + 7y = 14

Add '-12' to each side of the equation.
12 + -12 + 7y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 7y = 14 + -12
7y = 14 + -12

Combine like terms: 14 + -12 = 2
7y = 2

Divide each side by '7'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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