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

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


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

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

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

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

Combine like terms: y + 6y = 7y
1 + 7y = -2(y + 1)

Reorder the terms:
1 + 7y = -2(1 + y)
1 + 7y = (1 * -2 + y * -2)
1 + 7y = (-2 + -2y)

Solving
1 + 7y = -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.
1 + 7y + 2y = -2 + -2y + 2y

Combine like terms: 7y + 2y = 9y
1 + 9y = -2 + -2y + 2y

Combine like terms: -2y + 2y = 0
1 + 9y = -2 + 0
1 + 9y = -2

Add '-1' to each side of the equation.
1 + -1 + 9y = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 9y = -2 + -1
9y = -2 + -1

Combine like terms: -2 + -1 = -3
9y = -3

Divide each side by '9'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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