2y+3(y-9)=-3y+18-y

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Solution for 2y+3(y-9)=-3y+18-y equation: 


Simplifying
2y + 3(y + -9) = -3y + 18 + -1y

Reorder the terms:
2y + 3(-9 + y) = -3y + 18 + -1y
2y + (-9 * 3 + y * 3) = -3y + 18 + -1y
2y + (-27 + 3y) = -3y + 18 + -1y

Reorder the terms:
-27 + 2y + 3y = -3y + 18 + -1y

Combine like terms: 2y + 3y = 5y
-27 + 5y = -3y + 18 + -1y

Reorder the terms:
-27 + 5y = 18 + -3y + -1y

Combine like terms: -3y + -1y = -4y
-27 + 5y = 18 + -4y

Solving
-27 + 5y = 18 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-27 + 5y + 4y = 18 + -4y + 4y

Combine like terms: 5y + 4y = 9y
-27 + 9y = 18 + -4y + 4y

Combine like terms: -4y + 4y = 0
-27 + 9y = 18 + 0
-27 + 9y = 18

Add '27' to each side of the equation.
-27 + 27 + 9y = 18 + 27

Combine like terms: -27 + 27 = 0
0 + 9y = 18 + 27
9y = 18 + 27

Combine like terms: 18 + 27 = 45
9y = 45

Divide each side by '9'.
y = 5

Simplifying
y = 5

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