42+3y-16=14y-10-5y

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Solution for 42+3y-16=14y-10-5y equation:


Simplifying
42 + 3y + -16 = 14y + -10 + -5y

Reorder the terms:
42 + -16 + 3y = 14y + -10 + -5y

Combine like terms: 42 + -16 = 26
26 + 3y = 14y + -10 + -5y

Reorder the terms:
26 + 3y = -10 + 14y + -5y

Combine like terms: 14y + -5y = 9y
26 + 3y = -10 + 9y

Solving
26 + 3y = -10 + 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.
26 + 3y + -9y = -10 + 9y + -9y

Combine like terms: 3y + -9y = -6y
26 + -6y = -10 + 9y + -9y

Combine like terms: 9y + -9y = 0
26 + -6y = -10 + 0
26 + -6y = -10

Add '-26' to each side of the equation.
26 + -26 + -6y = -10 + -26

Combine like terms: 26 + -26 = 0
0 + -6y = -10 + -26
-6y = -10 + -26

Combine like terms: -10 + -26 = -36
-6y = -36

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

Simplifying
y = 6

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