3y+6=7y-9

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Solution for 3y+6=7y-9 equation:


Simplifying
3y + 6 = 7y + -9

Reorder the terms:
6 + 3y = 7y + -9

Reorder the terms:
6 + 3y = -9 + 7y

Solving
6 + 3y = -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.
6 + 3y + -7y = -9 + 7y + -7y

Combine like terms: 3y + -7y = -4y
6 + -4y = -9 + 7y + -7y

Combine like terms: 7y + -7y = 0
6 + -4y = -9 + 0
6 + -4y = -9

Add '-6' to each side of the equation.
6 + -6 + -4y = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = -9 + -6
-4y = -9 + -6

Combine like terms: -9 + -6 = -15
-4y = -15

Divide each side by '-4'.
y = 3.75

Simplifying
y = 3.75

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