2+y=10-2(y+1)

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Solution for 2+y=10-2(y+1) equation: 


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

Reorder the terms:
2 + y = 10 + -2(1 + y)
2 + y = 10 + (1 * -2 + y * -2)
2 + y = 10 + (-2 + -2y)

Combine like terms: 10 + -2 = 8
2 + y = 8 + -2y

Solving
2 + y = 8 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
2 + y + 2y = 8 + -2y + 2y

Combine like terms: y + 2y = 3y
2 + 3y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
2 + 3y = 8 + 0
2 + 3y = 8

Add '-2' to each side of the equation.
2 + -2 + 3y = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 8 + -2
3y = 8 + -2

Combine like terms: 8 + -2 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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