22=7(y-2)+5y

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


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

Reorder the terms:
22 = 7(-2 + y) + 5y
22 = (-2 * 7 + y * 7) + 5y
22 = (-14 + 7y) + 5y

Combine like terms: 7y + 5y = 12y
22 = -14 + 12y

Solving
22 = -14 + 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 = -14 + 12y + -12y

Combine like terms: 12y + -12y = 0
22 + -12y = -14 + 0
22 + -12y = -14

Add '-22' to each side of the equation.
22 + -22 + -12y = -14 + -22

Combine like terms: 22 + -22 = 0
0 + -12y = -14 + -22
-12y = -14 + -22

Combine like terms: -14 + -22 = -36
-12y = -36

Divide each side by '-12'.
y = 3

Simplifying
y = 3

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