7(y-7)=-3(2+y)

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Solution for 7(y-7)=-3(2+y) equation:


Simplifying
7(y + -7) = -3(2 + y)

Reorder the terms:
7(-7 + y) = -3(2 + y)
(-7 * 7 + y * 7) = -3(2 + y)
(-49 + 7y) = -3(2 + y)
-49 + 7y = (2 * -3 + y * -3)
-49 + 7y = (-6 + -3y)

Solving
-49 + 7y = -6 + -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.
-49 + 7y + 3y = -6 + -3y + 3y

Combine like terms: 7y + 3y = 10y
-49 + 10y = -6 + -3y + 3y

Combine like terms: -3y + 3y = 0
-49 + 10y = -6 + 0
-49 + 10y = -6

Add '49' to each side of the equation.
-49 + 49 + 10y = -6 + 49

Combine like terms: -49 + 49 = 0
0 + 10y = -6 + 49
10y = -6 + 49

Combine like terms: -6 + 49 = 43
10y = 43

Divide each side by '10'.
y = 4.3

Simplifying
y = 4.3

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