3y-2(y+19)=9y-27-3y

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Solution for 3y-2(y+19)=9y-27-3y equation:


Simplifying
3y + -2(y + 19) = 9y + -27 + -3y

Reorder the terms:
3y + -2(19 + y) = 9y + -27 + -3y
3y + (19 * -2 + y * -2) = 9y + -27 + -3y
3y + (-38 + -2y) = 9y + -27 + -3y

Reorder the terms:
-38 + 3y + -2y = 9y + -27 + -3y

Combine like terms: 3y + -2y = 1y
-38 + 1y = 9y + -27 + -3y

Reorder the terms:
-38 + 1y = -27 + 9y + -3y

Combine like terms: 9y + -3y = 6y
-38 + 1y = -27 + 6y

Solving
-38 + 1y = -27 + 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.
-38 + 1y + -6y = -27 + 6y + -6y

Combine like terms: 1y + -6y = -5y
-38 + -5y = -27 + 6y + -6y

Combine like terms: 6y + -6y = 0
-38 + -5y = -27 + 0
-38 + -5y = -27

Add '38' to each side of the equation.
-38 + 38 + -5y = -27 + 38

Combine like terms: -38 + 38 = 0
0 + -5y = -27 + 38
-5y = -27 + 38

Combine like terms: -27 + 38 = 11
-5y = 11

Divide each side by '-5'.
y = -2.2

Simplifying
y = -2.2

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