9y+(10-3y)=5(5+y)

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Solution for 9y+(10-3y)=5(5+y) equation: 


Simplifying
9y + (10 + -3y) = 5(5 + y)

Remove parenthesis around (10 + -3y)
9y + 10 + -3y = 5(5 + y)

Reorder the terms:
10 + 9y + -3y = 5(5 + y)

Combine like terms: 9y + -3y = 6y
10 + 6y = 5(5 + y)
10 + 6y = (5 * 5 + y * 5)
10 + 6y = (25 + 5y)

Solving
10 + 6y = 25 + 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.
10 + 6y + -5y = 25 + 5y + -5y

Combine like terms: 6y + -5y = 1y
10 + 1y = 25 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + 1y = 25 + 0
10 + 1y = 25

Add '-10' to each side of the equation.
10 + -10 + 1y = 25 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = 25 + -10
1y = 25 + -10

Combine like terms: 25 + -10 = 15
1y = 15

Divide each side by '1'.
y = 15

Simplifying
y = 15

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