3y-7=9-y+6

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


Simplifying
3y + -7 = 9 + -1y + 6

Reorder the terms:
-7 + 3y = 9 + -1y + 6

Reorder the terms:
-7 + 3y = 9 + 6 + -1y

Combine like terms: 9 + 6 = 15
-7 + 3y = 15 + -1y

Solving
-7 + 3y = 15 + -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.
-7 + 3y + y = 15 + -1y + y

Combine like terms: 3y + y = 4y
-7 + 4y = 15 + -1y + y

Combine like terms: -1y + y = 0
-7 + 4y = 15 + 0
-7 + 4y = 15

Add '7' to each side of the equation.
-7 + 7 + 4y = 15 + 7

Combine like terms: -7 + 7 = 0
0 + 4y = 15 + 7
4y = 15 + 7

Combine like terms: 15 + 7 = 22
4y = 22

Divide each side by '4'.
y = 5.5

Simplifying
y = 5.5

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