12y-3(y-3)=6y+8-(y+2)

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Solution for 12y-3(y-3)=6y+8-(y+2) equation:


Simplifying
12y + -3(y + -3) = 6y + 8 + -1(y + 2)

Reorder the terms:
12y + -3(-3 + y) = 6y + 8 + -1(y + 2)
12y + (-3 * -3 + y * -3) = 6y + 8 + -1(y + 2)
12y + (9 + -3y) = 6y + 8 + -1(y + 2)

Reorder the terms:
9 + 12y + -3y = 6y + 8 + -1(y + 2)

Combine like terms: 12y + -3y = 9y
9 + 9y = 6y + 8 + -1(y + 2)

Reorder the terms:
9 + 9y = 6y + 8 + -1(2 + y)
9 + 9y = 6y + 8 + (2 * -1 + y * -1)
9 + 9y = 6y + 8 + (-2 + -1y)

Reorder the terms:
9 + 9y = 8 + -2 + 6y + -1y

Combine like terms: 8 + -2 = 6
9 + 9y = 6 + 6y + -1y

Combine like terms: 6y + -1y = 5y
9 + 9y = 6 + 5y

Solving
9 + 9y = 6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
9 + 9y + -5y = 6 + 5y + -5y

Combine like terms: 9y + -5y = 4y
9 + 4y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + 4y = 6 + 0
9 + 4y = 6

Add '-9' to each side of the equation.
9 + -9 + 4y = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = 6 + -9
4y = 6 + -9

Combine like terms: 6 + -9 = -3
4y = -3

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75

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