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

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


Simplifying
3(6 + -2y) + -5(4 + -1y) = -12y
(6 * 3 + -2y * 3) + -5(4 + -1y) = -12y
(18 + -6y) + -5(4 + -1y) = -12y
18 + -6y + (4 * -5 + -1y * -5) = -12y
18 + -6y + (-20 + 5y) = -12y

Reorder the terms:
18 + -20 + -6y + 5y = -12y

Combine like terms: 18 + -20 = -2
-2 + -6y + 5y = -12y

Combine like terms: -6y + 5y = -1y
-2 + -1y = -12y

Solving
-2 + -1y = -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
-2 + -1y + 12y = -12y + 12y

Combine like terms: -1y + 12y = 11y
-2 + 11y = -12y + 12y

Combine like terms: -12y + 12y = 0
-2 + 11y = 0

Add '2' to each side of the equation.
-2 + 2 + 11y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 11y = 0 + 2
11y = 0 + 2

Combine like terms: 0 + 2 = 2
11y = 2

Divide each side by '11'.
y = 0.1818181818

Simplifying
y = 0.1818181818

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