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 = 10y
-56 + 10y = -18 + -3y + 3y

Combine like terms: -3y + 3y = 0
-56 + 10y = -18 + 0
-56 + 10y = -18

Add '56' to each side of the equation.
-56 + 56 + 10y = -18 + 56

Combine like terms: -56 + 56 = 0
0 + 10y = -18 + 56
10y = -18 + 56

Combine like terms: -18 + 56 = 38
10y = 38

Divide each side by '10'.
y = 3.8

Simplifying
y = 3.8

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