5y+9=15y-51

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Solution for 5y+9=15y-51 equation:


Simplifying
5y + 9 = 15y + -51

Reorder the terms:
9 + 5y = 15y + -51

Reorder the terms:
9 + 5y = -51 + 15y

Solving
9 + 5y = -51 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
9 + 5y + -15y = -51 + 15y + -15y

Combine like terms: 5y + -15y = -10y
9 + -10y = -51 + 15y + -15y

Combine like terms: 15y + -15y = 0
9 + -10y = -51 + 0
9 + -10y = -51

Add '-9' to each side of the equation.
9 + -9 + -10y = -51 + -9

Combine like terms: 9 + -9 = 0
0 + -10y = -51 + -9
-10y = -51 + -9

Combine like terms: -51 + -9 = -60
-10y = -60

Divide each side by '-10'.
y = 6

Simplifying
y = 6

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