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

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


Simplifying
2y + -3(2 + -1y) = 5 + y
2y + (2 * -3 + -1y * -3) = 5 + y
2y + (-6 + 3y) = 5 + y

Reorder the terms:
-6 + 2y + 3y = 5 + y

Combine like terms: 2y + 3y = 5y
-6 + 5y = 5 + y

Solving
-6 + 5y = 5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-6 + 5y + -1y = 5 + y + -1y

Combine like terms: 5y + -1y = 4y
-6 + 4y = 5 + y + -1y

Combine like terms: y + -1y = 0
-6 + 4y = 5 + 0
-6 + 4y = 5

Add '6' to each side of the equation.
-6 + 6 + 4y = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 5 + 6
4y = 5 + 6

Combine like terms: 5 + 6 = 11
4y = 11

Divide each side by '4'.
y = 2.75

Simplifying
y = 2.75

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