47+5y-21=17y-14-4y

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Solution for 47+5y-21=17y-14-4y equation:


Simplifying
47 + 5y + -21 = 17y + -14 + -4y

Reorder the terms:
47 + -21 + 5y = 17y + -14 + -4y

Combine like terms: 47 + -21 = 26
26 + 5y = 17y + -14 + -4y

Reorder the terms:
26 + 5y = -14 + 17y + -4y

Combine like terms: 17y + -4y = 13y
26 + 5y = -14 + 13y

Solving
26 + 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.
26 + 5y + -13y = -14 + 13y + -13y

Combine like terms: 5y + -13y = -8y
26 + -8y = -14 + 13y + -13y

Combine like terms: 13y + -13y = 0
26 + -8y = -14 + 0
26 + -8y = -14

Add '-26' to each side of the equation.
26 + -26 + -8y = -14 + -26

Combine like terms: 26 + -26 = 0
0 + -8y = -14 + -26
-8y = -14 + -26

Combine like terms: -14 + -26 = -40
-8y = -40

Divide each side by '-8'.
y = 5

Simplifying
y = 5

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