6(y+5)=5(y-6)

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


Simplifying
6(y + 5) = 5(y + -6)

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

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

Solving
30 + 6y = -30 + 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.
30 + 6y + -5y = -30 + 5y + -5y

Combine like terms: 6y + -5y = 1y
30 + 1y = -30 + 5y + -5y

Combine like terms: 5y + -5y = 0
30 + 1y = -30 + 0
30 + 1y = -30

Add '-30' to each side of the equation.
30 + -30 + 1y = -30 + -30

Combine like terms: 30 + -30 = 0
0 + 1y = -30 + -30
1y = -30 + -30

Combine like terms: -30 + -30 = -60
1y = -60

Divide each side by '1'.
y = -60

Simplifying
y = -60

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