y+(y+7)(-7)=y-7

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


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

Reorder the terms:
y + (7 + y)(-7) = y + -7

Reorder the terms for easier multiplication:
y + -7(7 + y) = y + -7
y + (7 * -7 + y * -7) = y + -7
y + (-49 + -7y) = y + -7

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

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

Reorder the terms:
-49 + -6y = -7 + y

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

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-49 + -6y + -1y = -7 + y + -1y

Combine like terms: -6y + -1y = -7y
-49 + -7y = -7 + y + -1y

Combine like terms: y + -1y = 0
-49 + -7y = -7 + 0
-49 + -7y = -7

Add '49' to each side of the equation.
-49 + 49 + -7y = -7 + 49

Combine like terms: -49 + 49 = 0
0 + -7y = -7 + 49
-7y = -7 + 49

Combine like terms: -7 + 49 = 42
-7y = 42

Divide each side by '-7'.
y = -6

Simplifying
y = -6

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