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 = -1y
10 + -1y = 2y + 2

Reorder the terms:
10 + -1y = 2 + 2y

Solving
10 + -1y = 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 + -1y + -2y = 2 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
10 + -3y = 2 + 0
10 + -3y = 2

Add '-10' to each side of the equation.
10 + -10 + -3y = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = 2 + -10
-3y = 2 + -10

Combine like terms: 2 + -10 = -8
-3y = -8

Divide each side by '-3'.
y = 2.666666667

Simplifying
y = 2.666666667

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