5y+9=3y-7

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Solution for 5y+9=3y-7 equation:


Simplifying
5y + 9 = 3y + -7

Reorder the terms:
9 + 5y = 3y + -7

Reorder the terms:
9 + 5y = -7 + 3y

Solving
9 + 5y = -7 + 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.
9 + 5y + -3y = -7 + 3y + -3y

Combine like terms: 5y + -3y = 2y
9 + 2y = -7 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + 2y = -7 + 0
9 + 2y = -7

Add '-9' to each side of the equation.
9 + -9 + 2y = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = -7 + -9
2y = -7 + -9

Combine like terms: -7 + -9 = -16
2y = -16

Divide each side by '2'.
y = -8

Simplifying
y = -8

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