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

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


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

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

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

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

Remove parenthesis around (2 + y)
3 + 3y = 2 + y + -3y

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

Solving
3 + 3y = 2 + -2y

Solving for variable 'y'.

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + 5y = 2 + -3

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

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

Divide each side by '5'.
y = -0.2

Simplifying
y = -0.2

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