46+5y-4=15y-14-2y

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Solution for 46+5y-4=15y-14-2y equation:


Simplifying
46 + 5y + -4 = 15y + -14 + -2y

Reorder the terms:
46 + -4 + 5y = 15y + -14 + -2y

Combine like terms: 46 + -4 = 42
42 + 5y = 15y + -14 + -2y

Reorder the terms:
42 + 5y = -14 + 15y + -2y

Combine like terms: 15y + -2y = 13y
42 + 5y = -14 + 13y

Solving
42 + 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.
42 + 5y + -13y = -14 + 13y + -13y

Combine like terms: 5y + -13y = -8y
42 + -8y = -14 + 13y + -13y

Combine like terms: 13y + -13y = 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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