5y+7=y-1

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Solution for 5y+7=y-1 equation:


Simplifying
5y + 7 = y + -1

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

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

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

Combine like terms: 5y + -1y = 4y
7 + 4y = -1 + y + -1y

Combine like terms: y + -1y = 0
7 + 4y = -1 + 0
7 + 4y = -1

Add '-7' to each side of the equation.
7 + -7 + 4y = -1 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = -1 + -7
4y = -1 + -7

Combine like terms: -1 + -7 = -8
4y = -8

Divide each side by '4'.
y = -2

Simplifying
y = -2

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