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

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


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

Reorder the terms:
6(-6 + y) = 5(y + 8)
(-6 * 6 + y * 6) = 5(y + 8)
(-36 + 6y) = 5(y + 8)

Reorder the terms:
-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 = 76
1y = 76

Divide each side by '1'.
y = 76

Simplifying
y = 76

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