3y+22=5(y+8)

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Solution for 3y+22=5(y+8) equation: 


Simplifying
3y + 22 = 5(y + 8)

Reorder the terms:
22 + 3y = 5(y + 8)

Reorder the terms:
22 + 3y = 5(8 + y)
22 + 3y = (8 * 5 + y * 5)
22 + 3y = (40 + 5y)

Solving
22 + 3y = 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 + 3y + -5y = 40 + 5y + -5y

Combine like terms: 3y + -5y = -2y
22 + -2y = 40 + 5y + -5y

Combine like terms: 5y + -5y = 0
22 + -2y = 40 + 0
22 + -2y = 40

Add '-22' to each side of the equation.
22 + -22 + -2y = 40 + -22

Combine like terms: 22 + -22 = 0
0 + -2y = 40 + -22
-2y = 40 + -22

Combine like terms: 40 + -22 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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