9y+4=-2(1-3y)

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Solution for 9y+4=-2(1-3y) equation:


Simplifying
9y + 4 = -2(1 + -3y)

Reorder the terms:
4 + 9y = -2(1 + -3y)
4 + 9y = (1 * -2 + -3y * -2)
4 + 9y = (-2 + 6y)

Solving
4 + 9y = -2 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
4 + 9y + -6y = -2 + 6y + -6y

Combine like terms: 9y + -6y = 3y
4 + 3y = -2 + 6y + -6y

Combine like terms: 6y + -6y = 0
4 + 3y = -2 + 0
4 + 3y = -2

Add '-4' to each side of the equation.
4 + -4 + 3y = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = -2 + -4
3y = -2 + -4

Combine like terms: -2 + -4 = -6
3y = -6

Divide each side by '3'.
y = -2

Simplifying
y = -2

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