y+2(y+5)=2y+2

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


Simplifying
y + 2(y + 5) = 2y + 2

Reorder the terms:
y + 2(5 + y) = 2y + 2
y + (5 * 2 + y * 2) = 2y + 2
y + (10 + 2y) = 2y + 2

Reorder the terms:
10 + y + 2y = 2y + 2

Combine like terms: y + 2y = 3y
10 + 3y = 2y + 2

Reorder the terms:
10 + 3y = 2 + 2y

Solving
10 + 3y = 2 + 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.
10 + 3y + -2y = 2 + 2y + -2y

Combine like terms: 3y + -2y = 1y
10 + 1y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + 1y = 2 + 0
10 + 1y = 2

Add '-10' to each side of the equation.
10 + -10 + 1y = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = 2 + -10
1y = 2 + -10

Combine like terms: 2 + -10 = -8
1y = -8

Divide each side by '1'.
y = -8

Simplifying
y = -8

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