5y+9=-2y+30

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Solution for 5y+9=-2y+30 equation:


Simplifying
5y + 9 = -2y + 30

Reorder the terms:
9 + 5y = -2y + 30

Reorder the terms:
9 + 5y = 30 + -2y

Solving
9 + 5y = 30 + -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 = 30 + -2y + 2y

Combine like terms: 5y + 2y = 7y
9 + 7y = 30 + -2y + 2y

Combine like terms: -2y + 2y = 0
9 + 7y = 30 + 0
9 + 7y = 30

Add '-9' to each side of the equation.
9 + -9 + 7y = 30 + -9

Combine like terms: 9 + -9 = 0
0 + 7y = 30 + -9
7y = 30 + -9

Combine like terms: 30 + -9 = 21
7y = 21

Divide each side by '7'.
y = 3

Simplifying
y = 3

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