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

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


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

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

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

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

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

Combine like terms: 3y + -7y = -4y
-5 + -4y = -9 + 7y + -7y

Combine like terms: 7y + -7y = 0
-5 + -4y = -9 + 0
-5 + -4y = -9

Add '5' to each side of the equation.
-5 + 5 + -4y = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -4y = -9 + 5
-4y = -9 + 5

Combine like terms: -9 + 5 = -4
-4y = -4

Divide each side by '-4'.
y = 1

Simplifying
y = 1

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