4y-6=13y+57

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Solution for 4y-6=13y+57 equation:


Simplifying
4y + -6 = 13y + 57

Reorder the terms:
-6 + 4y = 13y + 57

Reorder the terms:
-6 + 4y = 57 + 13y

Solving
-6 + 4y = 57 + 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 + 4y + -13y = 57 + 13y + -13y

Combine like terms: 4y + -13y = -9y
-6 + -9y = 57 + 13y + -13y

Combine like terms: 13y + -13y = 0
-6 + -9y = 57 + 0
-6 + -9y = 57

Add '6' to each side of the equation.
-6 + 6 + -9y = 57 + 6

Combine like terms: -6 + 6 = 0
0 + -9y = 57 + 6
-9y = 57 + 6

Combine like terms: 57 + 6 = 63
-9y = 63

Divide each side by '-9'.
y = -7

Simplifying
y = -7

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