3y+4y-9=6-y

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


Simplifying
3y + 4y + -9 = 6 + -1y

Reorder the terms:
-9 + 3y + 4y = 6 + -1y

Combine like terms: 3y + 4y = 7y
-9 + 7y = 6 + -1y

Solving
-9 + 7y = 6 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-9 + 7y + y = 6 + -1y + y

Combine like terms: 7y + y = 8y
-9 + 8y = 6 + -1y + y

Combine like terms: -1y + y = 0
-9 + 8y = 6 + 0
-9 + 8y = 6

Add '9' to each side of the equation.
-9 + 9 + 8y = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 8y = 6 + 9
8y = 6 + 9

Combine like terms: 6 + 9 = 15
8y = 15

Divide each side by '8'.
y = 1.875

Simplifying
y = 1.875

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