10(y+2)=2(2y+13)

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Solution for 10(y+2)=2(2y+13) equation: 


Simplifying
10(y + 2) = 2(2y + 13)

Reorder the terms:
10(2 + y) = 2(2y + 13)
(2 * 10 + y * 10) = 2(2y + 13)
(20 + 10y) = 2(2y + 13)

Reorder the terms:
20 + 10y = 2(13 + 2y)
20 + 10y = (13 * 2 + 2y * 2)
20 + 10y = (26 + 4y)

Solving
20 + 10y = 26 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
20 + 10y + -4y = 26 + 4y + -4y

Combine like terms: 10y + -4y = 6y
20 + 6y = 26 + 4y + -4y

Combine like terms: 4y + -4y = 0
20 + 6y = 26 + 0
20 + 6y = 26

Add '-20' to each side of the equation.
20 + -20 + 6y = 26 + -20

Combine like terms: 20 + -20 = 0
0 + 6y = 26 + -20
6y = 26 + -20

Combine like terms: 26 + -20 = 6
6y = 6

Divide each side by '6'.
y = 1

Simplifying
y = 1

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