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 = 12
1y = 12

Divide each side by '1'.
y = 12

Simplifying
y = 12

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