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

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Solution for 30(y+2)=5(5y+6) equation:


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

Reorder the terms:
30(2 + y) = 5(5y + 6)
(2 * 30 + y * 30) = 5(5y + 6)
(60 + 30y) = 5(5y + 6)

Reorder the terms:
60 + 30y = 5(6 + 5y)
60 + 30y = (6 * 5 + 5y * 5)
60 + 30y = (30 + 25y)

Solving
60 + 30y = 30 + 25y

Solving for variable 'y'.

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

Add '-25y' to each side of the equation.
60 + 30y + -25y = 30 + 25y + -25y

Combine like terms: 30y + -25y = 5y
60 + 5y = 30 + 25y + -25y

Combine like terms: 25y + -25y = 0
60 + 5y = 30 + 0
60 + 5y = 30

Add '-60' to each side of the equation.
60 + -60 + 5y = 30 + -60

Combine like terms: 60 + -60 = 0
0 + 5y = 30 + -60
5y = 30 + -60

Combine like terms: 30 + -60 = -30
5y = -30

Divide each side by '5'.
y = -6

Simplifying
y = -6

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