71+6y-29=17y-14-3y

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Solution for 71+6y-29=17y-14-3y equation:


Simplifying
71 + 6y + -29 = 17y + -14 + -3y

Reorder the terms:
71 + -29 + 6y = 17y + -14 + -3y

Combine like terms: 71 + -29 = 42
42 + 6y = 17y + -14 + -3y

Reorder the terms:
42 + 6y = -14 + 17y + -3y

Combine like terms: 17y + -3y = 14y
42 + 6y = -14 + 14y

Solving
42 + 6y = -14 + 14y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-14y' to each side of the equation.
42 + 6y + -14y = -14 + 14y + -14y

Combine like terms: 6y + -14y = -8y
42 + -8y = -14 + 14y + -14y

Combine like terms: 14y + -14y = 0
42 + -8y = -14 + 0
42 + -8y = -14

Add '-42' to each side of the equation.
42 + -42 + -8y = -14 + -42

Combine like terms: 42 + -42 = 0
0 + -8y = -14 + -42
-8y = -14 + -42

Combine like terms: -14 + -42 = -56
-8y = -56

Divide each side by '-8'.
y = 7

Simplifying
y = 7

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