5(y+4)=6(y-6)

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Solution for 5(y+4)=6(y-6) equation:


Simplifying
5(y + 4) = 6(y + -6)

Reorder the terms:
5(4 + y) = 6(y + -6)
(4 * 5 + y * 5) = 6(y + -6)
(20 + 5y) = 6(y + -6)

Reorder the terms:
20 + 5y = 6(-6 + y)
20 + 5y = (-6 * 6 + y * 6)
20 + 5y = (-36 + 6y)

Solving
20 + 5y = -36 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
20 + 5y + -6y = -36 + 6y + -6y

Combine like terms: 5y + -6y = -1y
20 + -1y = -36 + 6y + -6y

Combine like terms: 6y + -6y = 0
20 + -1y = -36 + 0
20 + -1y = -36

Add '-20' to each side of the equation.
20 + -20 + -1y = -36 + -20

Combine like terms: 20 + -20 = 0
0 + -1y = -36 + -20
-1y = -36 + -20

Combine like terms: -36 + -20 = -56
-1y = -56

Divide each side by '-1'.
y = 56

Simplifying
y = 56

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