22=5(y-2)-3y

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Solution for 22=5(y-2)-3y equation:


Simplifying
22 = 5(y + -2) + -3y

Reorder the terms:
22 = 5(-2 + y) + -3y
22 = (-2 * 5 + y * 5) + -3y
22 = (-10 + 5y) + -3y

Combine like terms: 5y + -3y = 2y
22 = -10 + 2y

Solving
22 = -10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
22 + -2y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
22 + -2y = -10 + 0
22 + -2y = -10

Add '-22' to each side of the equation.
22 + -22 + -2y = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -2y = -10 + -22
-2y = -10 + -22

Combine like terms: -10 + -22 = -32
-2y = -32

Divide each side by '-2'.
y = 16

Simplifying
y = 16

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