42+3y-15=11y-9-2y

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Solution for 42+3y-15=11y-9-2y equation:


Simplifying
42 + 3y + -15 = 11y + -9 + -2y

Reorder the terms:
42 + -15 + 3y = 11y + -9 + -2y

Combine like terms: 42 + -15 = 27
27 + 3y = 11y + -9 + -2y

Reorder the terms:
27 + 3y = -9 + 11y + -2y

Combine like terms: 11y + -2y = 9y
27 + 3y = -9 + 9y

Solving
27 + 3y = -9 + 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.
27 + 3y + -9y = -9 + 9y + -9y

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

Combine like terms: 9y + -9y = 0
27 + -6y = -9 + 0
27 + -6y = -9

Add '-27' to each side of the equation.
27 + -27 + -6y = -9 + -27

Combine like terms: 27 + -27 = 0
0 + -6y = -9 + -27
-6y = -9 + -27

Combine like terms: -9 + -27 = -36
-6y = -36

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

Simplifying
y = 6

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