5y+9=2y-3

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


Simplifying
5y + 9 = 2y + -3

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

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

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

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

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

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

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

Combine like terms: -3 + -9 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4

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