7(y-7)=-3y-37

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Solution for 7(y-7)=-3y-37 equation:


Simplifying
7(y + -7) = -3y + -37

Reorder the terms:
7(-7 + y) = -3y + -37
(-7 * 7 + y * 7) = -3y + -37
(-49 + 7y) = -3y + -37

Reorder the terms:
-49 + 7y = -37 + -3y

Solving
-49 + 7y = -37 + -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 = -37 + -3y + 3y

Combine like terms: 7y + 3y = 10y
-49 + 10y = -37 + -3y + 3y

Combine like terms: -3y + 3y = 0
-49 + 10y = -37 + 0
-49 + 10y = -37

Add '49' to each side of the equation.
-49 + 49 + 10y = -37 + 49

Combine like terms: -49 + 49 = 0
0 + 10y = -37 + 49
10y = -37 + 49

Combine like terms: -37 + 49 = 12
10y = 12

Divide each side by '10'.
y = 1.2

Simplifying
y = 1.2

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