5y-3y+9+13=4y-6

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Solution for 5y-3y+9+13=4y-6 equation:


Simplifying
5y + -3y + 9 + 13 = 4y + -6

Reorder the terms:
9 + 13 + 5y + -3y = 4y + -6

Combine like terms: 9 + 13 = 22
22 + 5y + -3y = 4y + -6

Combine like terms: 5y + -3y = 2y
22 + 2y = 4y + -6

Reorder the terms:
22 + 2y = -6 + 4y

Solving
22 + 2y = -6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
22 + 2y + -4y = -6 + 4y + -4y

Combine like terms: 2y + -4y = -2y
22 + -2y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
22 + -2y = -6 + 0
22 + -2y = -6

Add '-22' to each side of the equation.
22 + -22 + -2y = -6 + -22

Combine like terms: 22 + -22 = 0
0 + -2y = -6 + -22
-2y = -6 + -22

Combine like terms: -6 + -22 = -28
-2y = -28

Divide each side by '-2'.
y = 14

Simplifying
y = 14

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