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

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


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

Reorder the terms:
1 + 2y = 2(y + 3) + -1y

Reorder the terms:
1 + 2y = 2(3 + y) + -1y
1 + 2y = (3 * 2 + y * 2) + -1y
1 + 2y = (6 + 2y) + -1y

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

Solving
1 + 2y = 6 + 1y

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.
1 + 2y + -1y = 6 + 1y + -1y

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

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

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

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

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

Divide each side by '1'.
y = 5

Simplifying
y = 5

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