6y-9=4y+3y-16

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Solution for 6y-9=4y+3y-16 equation:


Simplifying
6y + -9 = 4y + 3y + -16

Reorder the terms:
-9 + 6y = 4y + 3y + -16

Reorder the terms:
-9 + 6y = -16 + 4y + 3y

Combine like terms: 4y + 3y = 7y
-9 + 6y = -16 + 7y

Solving
-9 + 6y = -16 + 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.
-9 + 6y + -7y = -16 + 7y + -7y

Combine like terms: 6y + -7y = -1y
-9 + -1y = -16 + 7y + -7y

Combine like terms: 7y + -7y = 0
-9 + -1y = -16 + 0
-9 + -1y = -16

Add '9' to each side of the equation.
-9 + 9 + -1y = -16 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = -16 + 9
-1y = -16 + 9

Combine like terms: -16 + 9 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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