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

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Solution for 10(y+2)=5(y+2) equation: 


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

Reorder the terms:
10(2 + y) = 5(y + 2)
(2 * 10 + y * 10) = 5(y + 2)
(20 + 10y) = 5(y + 2)

Reorder the terms:
20 + 10y = 5(2 + y)
20 + 10y = (2 * 5 + y * 5)
20 + 10y = (10 + 5y)

Solving
20 + 10y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
20 + 10y + -5y = 10 + 5y + -5y

Combine like terms: 10y + -5y = 5y
20 + 5y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
20 + 5y = 10 + 0
20 + 5y = 10

Add '-20' to each side of the equation.
20 + -20 + 5y = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 5y = 10 + -20
5y = 10 + -20

Combine like terms: 10 + -20 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2

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