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

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


Simplifying
12 + -5y = -3(-1y + 6) + -5(4y + -2)

Reorder the terms:
12 + -5y = -3(6 + -1y) + -5(4y + -2)
12 + -5y = (6 * -3 + -1y * -3) + -5(4y + -2)
12 + -5y = (-18 + 3y) + -5(4y + -2)

Reorder the terms:
12 + -5y = -18 + 3y + -5(-2 + 4y)
12 + -5y = -18 + 3y + (-2 * -5 + 4y * -5)
12 + -5y = -18 + 3y + (10 + -20y)

Reorder the terms:
12 + -5y = -18 + 10 + 3y + -20y

Combine like terms: -18 + 10 = -8
12 + -5y = -8 + 3y + -20y

Combine like terms: 3y + -20y = -17y
12 + -5y = -8 + -17y

Solving
12 + -5y = -8 + -17y

Solving for variable 'y'.

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

Add '17y' to each side of the equation.
12 + -5y + 17y = -8 + -17y + 17y

Combine like terms: -5y + 17y = 12y
12 + 12y = -8 + -17y + 17y

Combine like terms: -17y + 17y = 0
12 + 12y = -8 + 0
12 + 12y = -8

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

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

Combine like terms: -8 + -12 = -20
12y = -20

Divide each side by '12'.
y = -1.666666667

Simplifying
y = -1.666666667

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