6(6+y)=5(8+y)

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Solution for 6(6+y)=5(8+y) equation: 


Simplifying
6(6 + y) = 5(8 + y)
(6 * 6 + y * 6) = 5(8 + y)
(36 + 6y) = 5(8 + y)
36 + 6y = (8 * 5 + y * 5)
36 + 6y = (40 + 5y)

Solving
36 + 6y = 40 + 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.
36 + 6y + -5y = 40 + 5y + -5y

Combine like terms: 6y + -5y = 1y
36 + 1y = 40 + 5y + -5y

Combine like terms: 5y + -5y = 0
36 + 1y = 40 + 0
36 + 1y = 40

Add '-36' to each side of the equation.
36 + -36 + 1y = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 1y = 40 + -36
1y = 40 + -36

Combine like terms: 40 + -36 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4

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