5y-7=13y+25

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Solution for 5y-7=13y+25 equation:


Simplifying
5y + -7 = 13y + 25

Reorder the terms:
-7 + 5y = 13y + 25

Reorder the terms:
-7 + 5y = 25 + 13y

Solving
-7 + 5y = 25 + 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.
-7 + 5y + -13y = 25 + 13y + -13y

Combine like terms: 5y + -13y = -8y
-7 + -8y = 25 + 13y + -13y

Combine like terms: 13y + -13y = 0
-7 + -8y = 25 + 0
-7 + -8y = 25

Add '7' to each side of the equation.
-7 + 7 + -8y = 25 + 7

Combine like terms: -7 + 7 = 0
0 + -8y = 25 + 7
-8y = 25 + 7

Combine like terms: 25 + 7 = 32
-8y = 32

Divide each side by '-8'.
y = -4

Simplifying
y = -4

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