22=7y+5(y+2)

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Solution for 22=7y+5(y+2) equation: 


Simplifying
22 = 7y + 5(y + 2)

Reorder the terms:
22 = 7y + 5(2 + y)
22 = 7y + (2 * 5 + y * 5)
22 = 7y + (10 + 5y)

Reorder the terms:
22 = 10 + 7y + 5y

Combine like terms: 7y + 5y = 12y
22 = 10 + 12y

Solving
22 = 10 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
22 + -12y = 10 + 12y + -12y

Combine like terms: 12y + -12y = 0
22 + -12y = 10 + 0
22 + -12y = 10

Add '-22' to each side of the equation.
22 + -22 + -12y = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -12y = 10 + -22
-12y = 10 + -22

Combine like terms: 10 + -22 = -12
-12y = -12

Divide each side by '-12'.
y = 1

Simplifying
y = 1

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