[2(y+5)]=(9y+5)

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Solution for [2(y+5)]=(9y+5) equation:


Simplifying
[2(y + 5)] = (9y + 5)

Reorder the terms:
[2(5 + y)] = (9y + 5)
[(5 * 2 + y * 2)] = (9y + 5)
[(10 + 2y)] = (9y + 5)
[10 + 2y] = (9y + 5)

Remove brackets around [10 + 2y]
10 + 2y = (9y + 5)

Reorder the terms:
10 + 2y = (5 + 9y)

Remove parenthesis around (5 + 9y)
10 + 2y = 5 + 9y

Solving
10 + 2y = 5 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
10 + 2y + -9y = 5 + 9y + -9y

Combine like terms: 2y + -9y = -7y
10 + -7y = 5 + 9y + -9y

Combine like terms: 9y + -9y = 0
10 + -7y = 5 + 0
10 + -7y = 5

Add '-10' to each side of the equation.
10 + -10 + -7y = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -7y = 5 + -10
-7y = 5 + -10

Combine like terms: 5 + -10 = -5
-7y = -5

Divide each side by '-7'.
y = 0.7142857143

Simplifying
y = 0.7142857143

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