5y+2=-3y-9

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Solution for 5y+2=-3y-9 equation:


Simplifying
5y + 2 = -3y + -9

Reorder the terms:
2 + 5y = -3y + -9

Reorder the terms:
2 + 5y = -9 + -3y

Solving
2 + 5y = -9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
2 + 5y + 3y = -9 + -3y + 3y

Combine like terms: 5y + 3y = 8y
2 + 8y = -9 + -3y + 3y

Combine like terms: -3y + 3y = 0
2 + 8y = -9 + 0
2 + 8y = -9

Add '-2' to each side of the equation.
2 + -2 + 8y = -9 + -2

Combine like terms: 2 + -2 = 0
0 + 8y = -9 + -2
8y = -9 + -2

Combine like terms: -9 + -2 = -11
8y = -11

Divide each side by '8'.
y = -1.375

Simplifying
y = -1.375

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