47+5y-9=17y-10-4y

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Solution for 47+5y-9=17y-10-4y equation:


Simplifying
47 + 5y + -9 = 17y + -10 + -4y

Reorder the terms:
47 + -9 + 5y = 17y + -10 + -4y

Combine like terms: 47 + -9 = 38
38 + 5y = 17y + -10 + -4y

Reorder the terms:
38 + 5y = -10 + 17y + -4y

Combine like terms: 17y + -4y = 13y
38 + 5y = -10 + 13y

Solving
38 + 5y = -10 + 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.
38 + 5y + -13y = -10 + 13y + -13y

Combine like terms: 5y + -13y = -8y
38 + -8y = -10 + 13y + -13y

Combine like terms: 13y + -13y = 0
38 + -8y = -10 + 0
38 + -8y = -10

Add '-38' to each side of the equation.
38 + -38 + -8y = -10 + -38

Combine like terms: 38 + -38 = 0
0 + -8y = -10 + -38
-8y = -10 + -38

Combine like terms: -10 + -38 = -48
-8y = -48

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

Simplifying
y = 6

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