7y-6=13y+36

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Solution for 7y-6=13y+36 equation:


Simplifying
7y + -6 = 13y + 36

Reorder the terms:
-6 + 7y = 13y + 36

Reorder the terms:
-6 + 7y = 36 + 13y

Solving
-6 + 7y = 36 + 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.
-6 + 7y + -13y = 36 + 13y + -13y

Combine like terms: 7y + -13y = -6y
-6 + -6y = 36 + 13y + -13y

Combine like terms: 13y + -13y = 0
-6 + -6y = 36 + 0
-6 + -6y = 36

Add '6' to each side of the equation.
-6 + 6 + -6y = 36 + 6

Combine like terms: -6 + 6 = 0
0 + -6y = 36 + 6
-6y = 36 + 6

Combine like terms: 36 + 6 = 42
-6y = 42

Divide each side by '-6'.
y = -7

Simplifying
y = -7

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