5y-6=14y+21

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Solution for 5y-6=14y+21 equation:


Simplifying
5y + -6 = 14y + 21

Reorder the terms:
-6 + 5y = 14y + 21

Reorder the terms:
-6 + 5y = 21 + 14y

Solving
-6 + 5y = 21 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-6 + 5y + -14y = 21 + 14y + -14y

Combine like terms: 5y + -14y = -9y
-6 + -9y = 21 + 14y + -14y

Combine like terms: 14y + -14y = 0
-6 + -9y = 21 + 0
-6 + -9y = 21

Add '6' to each side of the equation.
-6 + 6 + -9y = 21 + 6

Combine like terms: -6 + 6 = 0
0 + -9y = 21 + 6
-9y = 21 + 6

Combine like terms: 21 + 6 = 27
-9y = 27

Divide each side by '-9'.
y = -3

Simplifying
y = -3

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