3y-2y+38=9y-27-3y

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Solution for 3y-2y+38=9y-27-3y equation:


Simplifying
3y + -2y + 38 = 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 = -65
-5y = -65

Divide each side by '-5'.
y = 13

Simplifying
y = 13

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