-y+3=-7y-21

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Solution for -y+3=-7y-21 equation:


Simplifying
-1y + 3 = -7y + -21

Reorder the terms:
3 + -1y = -7y + -21

Reorder the terms:
3 + -1y = -21 + -7y

Solving
3 + -1y = -21 + -7y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '7y' to each side of the equation.
3 + -1y + 7y = -21 + -7y + 7y

Combine like terms: -1y + 7y = 6y
3 + 6y = -21 + -7y + 7y

Combine like terms: -7y + 7y = 0
3 + 6y = -21 + 0
3 + 6y = -21

Add '-3' to each side of the equation.
3 + -3 + 6y = -21 + -3

Combine like terms: 3 + -3 = 0
0 + 6y = -21 + -3
6y = -21 + -3

Combine like terms: -21 + -3 = -24
6y = -24

Divide each side by '6'.
y = -4

Simplifying
y = -4

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