46+10y=6y+4+8y+10

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Solution for 46+10y=6y+4+8y+10 equation: 


Simplifying
46 + 10y = 6y + 4 + 8y + 10

Reorder the terms:
46 + 10y = 4 + 10 + 6y + 8y

Combine like terms: 4 + 10 = 14
46 + 10y = 14 + 6y + 8y

Combine like terms: 6y + 8y = 14y
46 + 10y = 14 + 14y

Solving
46 + 10y = 14 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
46 + 10y + -14y = 14 + 14y + -14y

Combine like terms: 10y + -14y = -4y
46 + -4y = 14 + 14y + -14y

Combine like terms: 14y + -14y = 0
46 + -4y = 14 + 0
46 + -4y = 14

Add '-46' to each side of the equation.
46 + -46 + -4y = 14 + -46

Combine like terms: 46 + -46 = 0
0 + -4y = 14 + -46
-4y = 14 + -46

Combine like terms: 14 + -46 = -32
-4y = -32

Divide each side by '-4'.
y = 8

Simplifying
y = 8

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