7y+3=y-5

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


Simplifying
7y + 3 = y + -5

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

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

Solving
3 + 7y = -5 + 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.
3 + 7y + -1y = -5 + y + -1y

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

Combine like terms: y + -1y = 0
3 + 6y = -5 + 0
3 + 6y = -5

Add '-3' to each side of the equation.
3 + -3 + 6y = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 6y = -5 + -3
6y = -5 + -3

Combine like terms: -5 + -3 = -8
6y = -8

Divide each side by '6'.
y = -1.333333333

Simplifying
y = -1.333333333

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