45+5y-12=16y-9-4y

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Solution for 45+5y-12=16y-9-4y equation:


Simplifying
45 + 5y + -12 = 16y + -9 + -4y

Reorder the terms:
45 + -12 + 5y = 16y + -9 + -4y

Combine like terms: 45 + -12 = 33
33 + 5y = 16y + -9 + -4y

Reorder the terms:
33 + 5y = -9 + 16y + -4y

Combine like terms: 16y + -4y = 12y
33 + 5y = -9 + 12y

Solving
33 + 5y = -9 + 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.
33 + 5y + -12y = -9 + 12y + -12y

Combine like terms: 5y + -12y = -7y
33 + -7y = -9 + 12y + -12y

Combine like terms: 12y + -12y = 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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