5y-2+y+18=18y+20-4y

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Solution for 5y-2+y+18=18y+20-4y equation:


Simplifying
5y + -2 + y + 18 = 18y + 20 + -4y

Reorder the terms:
-2 + 18 + 5y + y = 18y + 20 + -4y

Combine like terms: -2 + 18 = 16
16 + 5y + y = 18y + 20 + -4y

Combine like terms: 5y + y = 6y
16 + 6y = 18y + 20 + -4y

Reorder the terms:
16 + 6y = 20 + 18y + -4y

Combine like terms: 18y + -4y = 14y
16 + 6y = 20 + 14y

Solving
16 + 6y = 20 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
16 + 6y + -14y = 20 + 14y + -14y

Combine like terms: 6y + -14y = -8y
16 + -8y = 20 + 14y + -14y

Combine like terms: 14y + -14y = 0
16 + -8y = 20 + 0
16 + -8y = 20

Add '-16' to each side of the equation.
16 + -16 + -8y = 20 + -16

Combine like terms: 16 + -16 = 0
0 + -8y = 20 + -16
-8y = 20 + -16

Combine like terms: 20 + -16 = 4
-8y = 4

Divide each side by '-8'.
y = -0.5

Simplifying
y = -0.5

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