y+33=5y-15

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Solution for y+33=5y-15 equation: 


Simplifying
y + 33 = 5y + -15

Reorder the terms:
33 + y = 5y + -15

Reorder the terms:
33 + y = -15 + 5y

Solving
33 + y = -15 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
33 + y + -5y = -15 + 5y + -5y

Combine like terms: y + -5y = -4y
33 + -4y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
33 + -4y = -15 + 0
33 + -4y = -15

Add '-33' to each side of the equation.
33 + -33 + -4y = -15 + -33

Combine like terms: 33 + -33 = 0
0 + -4y = -15 + -33
-4y = -15 + -33

Combine like terms: -15 + -33 = -48
-4y = -48

Divide each side by '-4'.
y = 12

Simplifying
y = 12

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