3y-16=5y+37

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Solution for 3y-16=5y+37 equation:


Simplifying
3y + -16 = 5y + 37

Reorder the terms:
-16 + 3y = 5y + 37

Reorder the terms:
-16 + 3y = 37 + 5y

Solving
-16 + 3y = 37 + 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.
-16 + 3y + -5y = 37 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-16 + -2y = 37 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -2y = 37 + 0
-16 + -2y = 37

Add '16' to each side of the equation.
-16 + 16 + -2y = 37 + 16

Combine like terms: -16 + 16 = 0
0 + -2y = 37 + 16
-2y = 37 + 16

Combine like terms: 37 + 16 = 53
-2y = 53

Divide each side by '-2'.
y = -26.5

Simplifying
y = -26.5

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