3y+10-y=5+y-7

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Solution for 3y+10-y=5+y-7 equation: 


Simplifying
3y + 10 + -1y = 5 + y + -7

Reorder the terms:
10 + 3y + -1y = 5 + y + -7

Combine like terms: 3y + -1y = 2y
10 + 2y = 5 + y + -7

Reorder the terms:
10 + 2y = 5 + -7 + y

Combine like terms: 5 + -7 = -2
10 + 2y = -2 + y

Solving
10 + 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.
10 + 2y + -1y = -2 + y + -1y

Combine like terms: 2y + -1y = 1y
10 + 1y = -2 + y + -1y

Combine like terms: y + -1y = 0
10 + 1y = -2 + 0
10 + 1y = -2

Add '-10' to each side of the equation.
10 + -10 + 1y = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = -2 + -10
1y = -2 + -10

Combine like terms: -2 + -10 = -12
1y = -12

Divide each side by '1'.
y = -12

Simplifying
y = -12

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