4y-9=13y+27

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Solution for 4y-9=13y+27 equation:


Simplifying
4y + -9 = 13y + 27

Reorder the terms:
-9 + 4y = 13y + 27

Reorder the terms:
-9 + 4y = 27 + 13y

Solving
-9 + 4y = 27 + 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.
-9 + 4y + -13y = 27 + 13y + -13y

Combine like terms: 4y + -13y = -9y
-9 + -9y = 27 + 13y + -13y

Combine like terms: 13y + -13y = 0
-9 + -9y = 27 + 0
-9 + -9y = 27

Add '9' to each side of the equation.
-9 + 9 + -9y = 27 + 9

Combine like terms: -9 + 9 = 0
0 + -9y = 27 + 9
-9y = 27 + 9

Combine like terms: 27 + 9 = 36
-9y = 36

Divide each side by '-9'.
y = -4

Simplifying
y = -4

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