3y+5-y=1+y-8

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Solution for 3y+5-y=1+y-8 equation:


Simplifying
3y + 5 + -1y = 1 + y + -8

Reorder the terms:
5 + 3y + -1y = 1 + y + -8

Combine like terms: 3y + -1y = 2y
5 + 2y = 1 + y + -8

Reorder the terms:
5 + 2y = 1 + -8 + y

Combine like terms: 1 + -8 = -7
5 + 2y = -7 + y

Solving
5 + 2y = -7 + 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.
5 + 2y + -1y = -7 + y + -1y

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

Combine like terms: y + -1y = 0
5 + 1y = -7 + 0
5 + 1y = -7

Add '-5' to each side of the equation.
5 + -5 + 1y = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = -7 + -5
1y = -7 + -5

Combine like terms: -7 + -5 = -12
1y = -12

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

Simplifying
y = -12

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