3(4y+1)-9y=6(2-y)

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Solution for 3(4y+1)-9y=6(2-y) equation:


Simplifying
3(4y + 1) + -9y = 6(2 + -1y)

Reorder the terms:
3(1 + 4y) + -9y = 6(2 + -1y)
(1 * 3 + 4y * 3) + -9y = 6(2 + -1y)
(3 + 12y) + -9y = 6(2 + -1y)

Combine like terms: 12y + -9y = 3y
3 + 3y = 6(2 + -1y)
3 + 3y = (2 * 6 + -1y * 6)
3 + 3y = (12 + -6y)

Solving
3 + 3y = 12 + -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.
3 + 3y + 6y = 12 + -6y + 6y

Combine like terms: 3y + 6y = 9y
3 + 9y = 12 + -6y + 6y

Combine like terms: -6y + 6y = 0
3 + 9y = 12 + 0
3 + 9y = 12

Add '-3' to each side of the equation.
3 + -3 + 9y = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 9y = 12 + -3
9y = 12 + -3

Combine like terms: 12 + -3 = 9
9y = 9

Divide each side by '9'.
y = 1

Simplifying
y = 1

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