2(4y+5)=2(y+1)

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Solution for 2(4y+5)=2(y+1) equation: 


Simplifying
2(4y + 5) = 2(y + 1)

Reorder the terms:
2(5 + 4y) = 2(y + 1)
(5 * 2 + 4y * 2) = 2(y + 1)
(10 + 8y) = 2(y + 1)

Reorder the terms:
10 + 8y = 2(1 + y)
10 + 8y = (1 * 2 + y * 2)
10 + 8y = (2 + 2y)

Solving
10 + 8y = 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 + 8y + -2y = 2 + 2y + -2y

Combine like terms: 8y + -2y = 6y
10 + 6y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + 6y = 2 + 0
10 + 6y = 2

Add '-10' to each side of the equation.
10 + -10 + 6y = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 6y = 2 + -10
6y = 2 + -10

Combine like terms: 2 + -10 = -8
6y = -8

Divide each side by '6'.
y = -1.333333333

Simplifying
y = -1.333333333

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