7y-9=15y+47

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Solution for 7y-9=15y+47 equation:


Simplifying
7y + -9 = 15y + 47

Reorder the terms:
-9 + 7y = 15y + 47

Reorder the terms:
-9 + 7y = 47 + 15y

Solving
-9 + 7y = 47 + 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 + 7y + -15y = 47 + 15y + -15y

Combine like terms: 7y + -15y = -8y
-9 + -8y = 47 + 15y + -15y

Combine like terms: 15y + -15y = 0
-9 + -8y = 47 + 0
-9 + -8y = 47

Add '9' to each side of the equation.
-9 + 9 + -8y = 47 + 9

Combine like terms: -9 + 9 = 0
0 + -8y = 47 + 9
-8y = 47 + 9

Combine like terms: 47 + 9 = 56
-8y = 56

Divide each side by '-8'.
y = -7

Simplifying
y = -7

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