46+5y-9=17y-11-4y

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Solution for 46+5y-9=17y-11-4y equation:


Simplifying
46 + 5y + -9 = 17y + -11 + -4y

Reorder the terms:
46 + -9 + 5y = 17y + -11 + -4y

Combine like terms: 46 + -9 = 37
37 + 5y = 17y + -11 + -4y

Reorder the terms:
37 + 5y = -11 + 17y + -4y

Combine like terms: 17y + -4y = 13y
37 + 5y = -11 + 13y

Solving
37 + 5y = -11 + 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.
37 + 5y + -13y = -11 + 13y + -13y

Combine like terms: 5y + -13y = -8y
37 + -8y = -11 + 13y + -13y

Combine like terms: 13y + -13y = 0
37 + -8y = -11 + 0
37 + -8y = -11

Add '-37' to each side of the equation.
37 + -37 + -8y = -11 + -37

Combine like terms: 37 + -37 = 0
0 + -8y = -11 + -37
-8y = -11 + -37

Combine like terms: -11 + -37 = -48
-8y = -48

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

Simplifying
y = 6

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