46+4y-7=16y-10-5y

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Solution for 46+4y-7=16y-10-5y equation: 


Simplifying
46 + 4y + -7 = 16y + -10 + -5y

Reorder the terms:
46 + -7 + 4y = 16y + -10 + -5y

Combine like terms: 46 + -7 = 39
39 + 4y = 16y + -10 + -5y

Reorder the terms:
39 + 4y = -10 + 16y + -5y

Combine like terms: 16y + -5y = 11y
39 + 4y = -10 + 11y

Solving
39 + 4y = -10 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
39 + 4y + -11y = -10 + 11y + -11y

Combine like terms: 4y + -11y = -7y
39 + -7y = -10 + 11y + -11y

Combine like terms: 11y + -11y = 0
39 + -7y = -10 + 0
39 + -7y = -10

Add '-39' to each side of the equation.
39 + -39 + -7y = -10 + -39

Combine like terms: 39 + -39 = 0
0 + -7y = -10 + -39
-7y = -10 + -39

Combine like terms: -10 + -39 = -49
-7y = -49

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

Simplifying
y = 7

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