5y-(2-y)=22

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


Simplifying
5y + -1(2 + -1y) = 22
5y + (2 * -1 + -1y * -1) = 22
5y + (-2 + 1y) = 22

Reorder the terms:
-2 + 5y + 1y = 22

Combine like terms: 5y + 1y = 6y
-2 + 6y = 22

Solving
-2 + 6y = 22

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 6y = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 6y = 22 + 2
6y = 22 + 2

Combine like terms: 22 + 2 = 24
6y = 24

Divide each side by '6'.
y = 4

Simplifying
y = 4

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