6(7+y)=5(y-6)

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Solution for 6(7+y)=5(y-6) equation:


Simplifying
6(7 + y) = 5(y + -6)
(7 * 6 + y * 6) = 5(y + -6)
(42 + 6y) = 5(y + -6)

Reorder the terms:
42 + 6y = 5(-6 + y)
42 + 6y = (-6 * 5 + y * 5)
42 + 6y = (-30 + 5y)

Solving
42 + 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.
42 + 6y + -5y = -30 + 5y + -5y

Combine like terms: 6y + -5y = 1y
42 + 1y = -30 + 5y + -5y

Combine like terms: 5y + -5y = 0
42 + 1y = -30 + 0
42 + 1y = -30

Add '-42' to each side of the equation.
42 + -42 + 1y = -30 + -42

Combine like terms: 42 + -42 = 0
0 + 1y = -30 + -42
1y = -30 + -42

Combine like terms: -30 + -42 = -72
1y = -72

Divide each side by '1'.
y = -72

Simplifying
y = -72

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