5y-3=13y+37

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Solution for 5y-3=13y+37 equation:


Simplifying
5y + -3 = 13y + 37

Reorder the terms:
-3 + 5y = 13y + 37

Reorder the terms:
-3 + 5y = 37 + 13y

Solving
-3 + 5y = 37 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-3 + 5y + -13y = 37 + 13y + -13y

Combine like terms: 5y + -13y = -8y
-3 + -8y = 37 + 13y + -13y

Combine like terms: 13y + -13y = 0
-3 + -8y = 37 + 0
-3 + -8y = 37

Add '3' to each side of the equation.
-3 + 3 + -8y = 37 + 3

Combine like terms: -3 + 3 = 0
0 + -8y = 37 + 3
-8y = 37 + 3

Combine like terms: 37 + 3 = 40
-8y = 40

Divide each side by '-8'.
y = -5

Simplifying
y = -5

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