-3(y-3y)+3=-6(3y-y)+2+17y

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Solution for -3(y-3y)+3=-6(3y-y)+2+17y equation:


Simplifying
-3(y + -3y) + 3 = -6(3y + -1y) + 2 + 17y

Combine like terms: y + -3y = -2y
-3(-2y) + 3 = -6(3y + -1y) + 2 + 17y

Remove parenthesis around (-2y)
-3 * -2y + 3 = -6(3y + -1y) + 2 + 17y

Multiply -3 * -2
6y + 3 = -6(3y + -1y) + 2 + 17y

Reorder the terms:
3 + 6y = -6(3y + -1y) + 2 + 17y

Combine like terms: 3y + -1y = 2y
3 + 6y = -6(2y) + 2 + 17y

Remove parenthesis around (2y)
3 + 6y = -6 * 2y + 2 + 17y

Multiply -6 * 2
3 + 6y = -12y + 2 + 17y

Reorder the terms:
3 + 6y = 2 + -12y + 17y

Combine like terms: -12y + 17y = 5y
3 + 6y = 2 + 5y

Solving
3 + 6y = 2 + 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.
3 + 6y + -5y = 2 + 5y + -5y

Combine like terms: 6y + -5y = 1y
3 + 1y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + 1y = 2 + 0
3 + 1y = 2

Add '-3' to each side of the equation.
3 + -3 + 1y = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 2 + -3
1y = 2 + -3

Combine like terms: 2 + -3 = -1
1y = -1

Divide each side by '1'.
y = -1

Simplifying
y = -1

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