3y+6-y=7+y-5

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Solution for 3y+6-y=7+y-5 equation:


Simplifying
3y + 6 + -1y = 7 + y + -5

Reorder the terms:
6 + 3y + -1y = 7 + y + -5

Combine like terms: 3y + -1y = 2y
6 + 2y = 7 + y + -5

Reorder the terms:
6 + 2y = 7 + -5 + y

Combine like terms: 7 + -5 = 2
6 + 2y = 2 + y

Solving
6 + 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.
6 + 2y + -1y = 2 + y + -1y

Combine like terms: 2y + -1y = 1y
6 + 1y = 2 + y + -1y

Combine like terms: y + -1y = 0
6 + 1y = 2 + 0
6 + 1y = 2

Add '-6' to each side of the equation.
6 + -6 + 1y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 2 + -6
1y = 2 + -6

Combine like terms: 2 + -6 = -4
1y = -4

Divide each side by '1'.
y = -4

Simplifying
y = -4

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