9y-3(6-5y)=y-2(3y+9)

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Solution for 9y-3(6-5y)=y-2(3y+9) equation: 


Simplifying
9y + -3(6 + -5y) = y + -2(3y + 9)
9y + (6 * -3 + -5y * -3) = y + -2(3y + 9)
9y + (-18 + 15y) = y + -2(3y + 9)

Reorder the terms:
-18 + 9y + 15y = y + -2(3y + 9)

Combine like terms: 9y + 15y = 24y
-18 + 24y = y + -2(3y + 9)

Reorder the terms:
-18 + 24y = y + -2(9 + 3y)
-18 + 24y = y + (9 * -2 + 3y * -2)
-18 + 24y = y + (-18 + -6y)

Reorder the terms:
-18 + 24y = -18 + y + -6y

Combine like terms: y + -6y = -5y
-18 + 24y = -18 + -5y

Add '18' to each side of the equation.
-18 + 18 + 24y = -18 + 18 + -5y

Combine like terms: -18 + 18 = 0
0 + 24y = -18 + 18 + -5y
24y = -18 + 18 + -5y

Combine like terms: -18 + 18 = 0
24y = 0 + -5y
24y = -5y

Solving
24y = -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
24y + 5y = -5y + 5y

Combine like terms: 24y + 5y = 29y
29y = -5y + 5y

Combine like terms: -5y + 5y = 0
29y = 0

Divide each side by '29'.
y = 0

Simplifying
y = 0

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