3y+15-6y=9-(9y+6)

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Solution for 3y+15-6y=9-(9y+6) equation: 


Simplifying
3y + 15 + -6y = 9 + -1(9y + 6)

Reorder the terms:
15 + 3y + -6y = 9 + -1(9y + 6)

Combine like terms: 3y + -6y = -3y
15 + -3y = 9 + -1(9y + 6)

Reorder the terms:
15 + -3y = 9 + -1(6 + 9y)
15 + -3y = 9 + (6 * -1 + 9y * -1)
15 + -3y = 9 + (-6 + -9y)

Combine like terms: 9 + -6 = 3
15 + -3y = 3 + -9y

Solving
15 + -3y = 3 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
15 + -3y + 9y = 3 + -9y + 9y

Combine like terms: -3y + 9y = 6y
15 + 6y = 3 + -9y + 9y

Combine like terms: -9y + 9y = 0
15 + 6y = 3 + 0
15 + 6y = 3

Add '-15' to each side of the equation.
15 + -15 + 6y = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 6y = 3 + -15
6y = 3 + -15

Combine like terms: 3 + -15 = -12
6y = -12

Divide each side by '6'.
y = -2

Simplifying
y = -2

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