5y+7=-2y-21

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Solution for 5y+7=-2y-21 equation:


Simplifying
5y + 7 = -2y + -21

Reorder the terms:
7 + 5y = -2y + -21

Reorder the terms:
7 + 5y = -21 + -2y

Solving
7 + 5y = -21 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
7 + 5y + 2y = -21 + -2y + 2y

Combine like terms: 5y + 2y = 7y
7 + 7y = -21 + -2y + 2y

Combine like terms: -2y + 2y = 0
7 + 7y = -21 + 0
7 + 7y = -21

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

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

Combine like terms: -21 + -7 = -28
7y = -28

Divide each side by '7'.
y = -4

Simplifying
y = -4

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