9y+2=5-3(2y+4)

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Solution for 9y+2=5-3(2y+4) equation: 


Simplifying
9y + 2 = 5 + -3(2y + 4)

Reorder the terms:
2 + 9y = 5 + -3(2y + 4)

Reorder the terms:
2 + 9y = 5 + -3(4 + 2y)
2 + 9y = 5 + (4 * -3 + 2y * -3)
2 + 9y = 5 + (-12 + -6y)

Combine like terms: 5 + -12 = -7
2 + 9y = -7 + -6y

Solving
2 + 9y = -7 + -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.
2 + 9y + 6y = -7 + -6y + 6y

Combine like terms: 9y + 6y = 15y
2 + 15y = -7 + -6y + 6y

Combine like terms: -6y + 6y = 0
2 + 15y = -7 + 0
2 + 15y = -7

Add '-2' to each side of the equation.
2 + -2 + 15y = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 15y = -7 + -2
15y = -7 + -2

Combine like terms: -7 + -2 = -9
15y = -9

Divide each side by '15'.
y = -0.6

Simplifying
y = -0.6

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