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

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


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

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

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

Reorder the terms:
-9 + 3y = 3 + 3 + 6y + 6y

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

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

Solving
-9 + 3y = 6 + 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.
-9 + 3y + -12y = 6 + 12y + -12y

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

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

Add '9' to each side of the equation.
-9 + 9 + -9y = 6 + 9

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

Combine like terms: 6 + 9 = 15
-9y = 15

Divide each side by '-9'.
y = -1.666666667

Simplifying
y = -1.666666667

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