3y+7-y=7+y-9

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


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

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

Combine like terms: 3y + -1y = 2y
7 + 2y = 7 + y + -9

Reorder the terms:
7 + 2y = 7 + -9 + y

Combine like terms: 7 + -9 = -2
7 + 2y = -2 + y

Solving
7 + 2y = -2 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
7 + 2y + -1y = -2 + y + -1y

Combine like terms: 2y + -1y = 1y
7 + 1y = -2 + y + -1y

Combine like terms: y + -1y = 0
7 + 1y = -2 + 0
7 + 1y = -2

Add '-7' to each side of the equation.
7 + -7 + 1y = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = -2 + -7
1y = -2 + -7

Combine like terms: -2 + -7 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9

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