3y+5=7y-9

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Solution for 3y+5=7y-9 equation:


Simplifying
3y + 5 = 7y + -9

Reorder the terms:
5 + 3y = 7y + -9

Reorder the terms:
5 + 3y = -9 + 7y

Solving
5 + 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.
5 + 3y + -7y = -9 + 7y + -7y

Combine like terms: 3y + -7y = -4y
5 + -4y = -9 + 7y + -7y

Combine like terms: 7y + -7y = 0
5 + -4y = -9 + 0
5 + -4y = -9

Add '-5' to each side of the equation.
5 + -5 + -4y = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -4y = -9 + -5
-4y = -9 + -5

Combine like terms: -9 + -5 = -14
-4y = -14

Divide each side by '-4'.
y = 3.5

Simplifying
y = 3.5

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