8y+22=5(y+8)

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Solution for 8y+22=5(y+8) equation: 


Simplifying
8y + 22 = 5(y + 8)

Reorder the terms:
22 + 8y = 5(y + 8)

Reorder the terms:
22 + 8y = 5(8 + y)
22 + 8y = (8 * 5 + y * 5)
22 + 8y = (40 + 5y)

Solving
22 + 8y = 40 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
22 + 8y + -5y = 40 + 5y + -5y

Combine like terms: 8y + -5y = 3y
22 + 3y = 40 + 5y + -5y

Combine like terms: 5y + -5y = 0
22 + 3y = 40 + 0
22 + 3y = 40

Add '-22' to each side of the equation.
22 + -22 + 3y = 40 + -22

Combine like terms: 22 + -22 = 0
0 + 3y = 40 + -22
3y = 40 + -22

Combine like terms: 40 + -22 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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