5y-(2-y)=10

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Solution for 5y-(2-y)=10 equation:


Simplifying
5y + -1(2 + -1y) = 10
5y + (2 * -1 + -1y * -1) = 10
5y + (-2 + 1y) = 10

Reorder the terms:
-2 + 5y + 1y = 10

Combine like terms: 5y + 1y = 6y
-2 + 6y = 10

Solving
-2 + 6y = 10

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 = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 6y = 10 + 2
6y = 10 + 2

Combine like terms: 10 + 2 = 12
6y = 12

Divide each side by '6'.
y = 2

Simplifying
y = 2

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