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

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


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

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

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

Remove parenthesis around (2 + 2y)
10 + 5y = 2 + 2y

Solving
10 + 5y = 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 + 5y + -2y = 2 + 2y + -2y

Combine like terms: 5y + -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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