46+4y-13=15y-9-4y

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Solution for 46+4y-13=15y-9-4y equation:


Simplifying
46 + 4y + -13 = 15y + -9 + -4y

Reorder the terms:
46 + -13 + 4y = 15y + -9 + -4y

Combine like terms: 46 + -13 = 33
33 + 4y = 15y + -9 + -4y

Reorder the terms:
33 + 4y = -9 + 15y + -4y

Combine like terms: 15y + -4y = 11y
33 + 4y = -9 + 11y

Solving
33 + 4y = -9 + 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.
33 + 4y + -11y = -9 + 11y + -11y

Combine like terms: 4y + -11y = -7y
33 + -7y = -9 + 11y + -11y

Combine like terms: 11y + -11y = 0
33 + -7y = -9 + 0
33 + -7y = -9

Add '-33' to each side of the equation.
33 + -33 + -7y = -9 + -33

Combine like terms: 33 + -33 = 0
0 + -7y = -9 + -33
-7y = -9 + -33

Combine like terms: -9 + -33 = -42
-7y = -42

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

Simplifying
y = 6

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