47+5y-13=17y-14-4y

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Solution for 47+5y-13=17y-14-4y equation:


Simplifying
47 + 5y + -13 = 17y + -14 + -4y

Reorder the terms:
47 + -13 + 5y = 17y + -14 + -4y

Combine like terms: 47 + -13 = 34
34 + 5y = 17y + -14 + -4y

Reorder the terms:
34 + 5y = -14 + 17y + -4y

Combine like terms: 17y + -4y = 13y
34 + 5y = -14 + 13y

Solving
34 + 5y = -14 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
34 + 5y + -13y = -14 + 13y + -13y

Combine like terms: 5y + -13y = -8y
34 + -8y = -14 + 13y + -13y

Combine like terms: 13y + -13y = 0
34 + -8y = -14 + 0
34 + -8y = -14

Add '-34' to each side of the equation.
34 + -34 + -8y = -14 + -34

Combine like terms: 34 + -34 = 0
0 + -8y = -14 + -34
-8y = -14 + -34

Combine like terms: -14 + -34 = -48
-8y = -48

Divide each side by '-8'.
y = 6

Simplifying
y = 6

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