6y-9=4y+16

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Solution for 6y-9=4y+16 equation:


Simplifying
6y + -9 = 4y + 16

Reorder the terms:
-9 + 6y = 4y + 16

Reorder the terms:
-9 + 6y = 16 + 4y

Solving
-9 + 6y = 16 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-9 + 6y + -4y = 16 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-9 + 2y = 16 + 4y + -4y

Combine like terms: 4y + -4y = 0
-9 + 2y = 16 + 0
-9 + 2y = 16

Add '9' to each side of the equation.
-9 + 9 + 2y = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = 16 + 9
2y = 16 + 9

Combine like terms: 16 + 9 = 25
2y = 25

Divide each side by '2'.
y = 12.5

Simplifying
y = 12.5

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