6(2y+10)=5(y+5)

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Solution for 6(2y+10)=5(y+5) equation:


Simplifying
6(2y + 10) = 5(y + 5)

Reorder the terms:
6(10 + 2y) = 5(y + 5)
(10 * 6 + 2y * 6) = 5(y + 5)
(60 + 12y) = 5(y + 5)

Reorder the terms:
60 + 12y = 5(5 + y)
60 + 12y = (5 * 5 + y * 5)
60 + 12y = (25 + 5y)

Solving
60 + 12y = 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.
60 + 12y + -5y = 25 + 5y + -5y

Combine like terms: 12y + -5y = 7y
60 + 7y = 25 + 5y + -5y

Combine like terms: 5y + -5y = 0
60 + 7y = 25 + 0
60 + 7y = 25

Add '-60' to each side of the equation.
60 + -60 + 7y = 25 + -60

Combine like terms: 60 + -60 = 0
0 + 7y = 25 + -60
7y = 25 + -60

Combine like terms: 25 + -60 = -35
7y = -35

Divide each side by '7'.
y = -5

Simplifying
y = -5

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