y-3=7y+9

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Solution for y-3=7y+9 equation:


Simplifying
y + -3 = 7y + 9

Reorder the terms:
-3 + y = 7y + 9

Reorder the terms:
-3 + y = 9 + 7y

Solving
-3 + y = 9 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-3 + y + -7y = 9 + 7y + -7y

Combine like terms: y + -7y = -6y
-3 + -6y = 9 + 7y + -7y

Combine like terms: 7y + -7y = 0
-3 + -6y = 9 + 0
-3 + -6y = 9

Add '3' to each side of the equation.
-3 + 3 + -6y = 9 + 3

Combine like terms: -3 + 3 = 0
0 + -6y = 9 + 3
-6y = 9 + 3

Combine like terms: 9 + 3 = 12
-6y = 12

Divide each side by '-6'.
y = -2

Simplifying
y = -2

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