7(y-7)=-8y-4

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Solution for 7(y-7)=-8y-4 equation:


Simplifying
7(y + -7) = -8y + -4

Reorder the terms:
7(-7 + y) = -8y + -4
(-7 * 7 + y * 7) = -8y + -4
(-49 + 7y) = -8y + -4

Reorder the terms:
-49 + 7y = -4 + -8y

Solving
-49 + 7y = -4 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-49 + 7y + 8y = -4 + -8y + 8y

Combine like terms: 7y + 8y = 15y
-49 + 15y = -4 + -8y + 8y

Combine like terms: -8y + 8y = 0
-49 + 15y = -4 + 0
-49 + 15y = -4

Add '49' to each side of the equation.
-49 + 49 + 15y = -4 + 49

Combine like terms: -49 + 49 = 0
0 + 15y = -4 + 49
15y = -4 + 49

Combine like terms: -4 + 49 = 45
15y = 45

Divide each side by '15'.
y = 3

Simplifying
y = 3

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