7(y-8)=3(6+y)

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Solution for 7(y-8)=3(6+y) equation: 


Simplifying
7(y + -8) = 3(6 + y)

Reorder the terms:
7(-8 + y) = 3(6 + y)
(-8 * 7 + y * 7) = 3(6 + y)
(-56 + 7y) = 3(6 + y)
-56 + 7y = (6 * 3 + y * 3)
-56 + 7y = (18 + 3y)

Solving
-56 + 7y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-56 + 7y + -3y = 18 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-56 + 4y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-56 + 4y = 18 + 0
-56 + 4y = 18

Add '56' to each side of the equation.
-56 + 56 + 4y = 18 + 56

Combine like terms: -56 + 56 = 0
0 + 4y = 18 + 56
4y = 18 + 56

Combine like terms: 18 + 56 = 74
4y = 74

Divide each side by '4'.
y = 18.5

Simplifying
y = 18.5

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