3y-(11-2y)=y+1

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Solution for 3y-(11-2y)=y+1 equation:


Simplifying
3y + -1(11 + -2y) = y + 1
3y + (11 * -1 + -2y * -1) = y + 1
3y + (-11 + 2y) = y + 1

Reorder the terms:
-11 + 3y + 2y = y + 1

Combine like terms: 3y + 2y = 5y
-11 + 5y = y + 1

Reorder the terms:
-11 + 5y = 1 + y

Solving
-11 + 5y = 1 + 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.
-11 + 5y + -1y = 1 + y + -1y

Combine like terms: 5y + -1y = 4y
-11 + 4y = 1 + y + -1y

Combine like terms: y + -1y = 0
-11 + 4y = 1 + 0
-11 + 4y = 1

Add '11' to each side of the equation.
-11 + 11 + 4y = 1 + 11

Combine like terms: -11 + 11 = 0
0 + 4y = 1 + 11
4y = 1 + 11

Combine like terms: 1 + 11 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3

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