46+5y-14=15y-10-3y

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Solution for 46+5y-14=15y-10-3y equation: 


Simplifying
46 + 5y + -14 = 15y + -10 + -3y

Reorder the terms:
46 + -14 + 5y = 15y + -10 + -3y

Combine like terms: 46 + -14 = 32
32 + 5y = 15y + -10 + -3y

Reorder the terms:
32 + 5y = -10 + 15y + -3y

Combine like terms: 15y + -3y = 12y
32 + 5y = -10 + 12y

Solving
32 + 5y = -10 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
32 + 5y + -12y = -10 + 12y + -12y

Combine like terms: 5y + -12y = -7y
32 + -7y = -10 + 12y + -12y

Combine like terms: 12y + -12y = 0
32 + -7y = -10 + 0
32 + -7y = -10

Add '-32' to each side of the equation.
32 + -32 + -7y = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -7y = -10 + -32
-7y = -10 + -32

Combine like terms: -10 + -32 = -42
-7y = -42

Divide each side by '-7'.
y = 6

Simplifying
y = 6

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