2y+9=7y-16

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Solution for 2y+9=7y-16 equation:


Simplifying
2y + 9 = 7y + -16

Reorder the terms:
9 + 2y = 7y + -16

Reorder the terms:
9 + 2y = -16 + 7y

Solving
9 + 2y = -16 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
9 + 2y + -7y = -16 + 7y + -7y

Combine like terms: 2y + -7y = -5y
9 + -5y = -16 + 7y + -7y

Combine like terms: 7y + -7y = 0
9 + -5y = -16 + 0
9 + -5y = -16

Add '-9' to each side of the equation.
9 + -9 + -5y = -16 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = -16 + -9
-5y = -16 + -9

Combine like terms: -16 + -9 = -25
-5y = -25

Divide each side by '-5'.
y = 5

Simplifying
y = 5

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