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

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


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

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

Reorder the terms for easier multiplication:
2(2 + 3y) + 3y = 1
(2 * 2 + 3y * 2) + 3y = 1
(4 + 6y) + 3y = 1

Combine like terms: 6y + 3y = 9y
4 + 9y = 1

Solving
4 + 9y = 1

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + 9y = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 9y = 1 + -4
9y = 1 + -4

Combine like terms: 1 + -4 = -3
9y = -3

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

Simplifying
y = -0.3333333333

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