40+3y-16=11y-12-2y

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Solution for 40+3y-16=11y-12-2y equation:


Simplifying
40 + 3y + -16 = 11y + -12 + -2y

Reorder the terms:
40 + -16 + 3y = 11y + -12 + -2y

Combine like terms: 40 + -16 = 24
24 + 3y = 11y + -12 + -2y

Reorder the terms:
24 + 3y = -12 + 11y + -2y

Combine like terms: 11y + -2y = 9y
24 + 3y = -12 + 9y

Solving
24 + 3y = -12 + 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.
24 + 3y + -9y = -12 + 9y + -9y

Combine like terms: 3y + -9y = -6y
24 + -6y = -12 + 9y + -9y

Combine like terms: 9y + -9y = 0
24 + -6y = -12 + 0
24 + -6y = -12

Add '-24' to each side of the equation.
24 + -24 + -6y = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -6y = -12 + -24
-6y = -12 + -24

Combine like terms: -12 + -24 = -36
-6y = -36

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

Simplifying
y = 6

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