8(y-7)=-6y-28

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Solution for 8(y-7)=-6y-28 equation:


Simplifying
8(y + -7) = -6y + -28

Reorder the terms:
8(-7 + y) = -6y + -28
(-7 * 8 + y * 8) = -6y + -28
(-56 + 8y) = -6y + -28

Reorder the terms:
-56 + 8y = -28 + -6y

Solving
-56 + 8y = -28 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-56 + 8y + 6y = -28 + -6y + 6y

Combine like terms: 8y + 6y = 14y
-56 + 14y = -28 + -6y + 6y

Combine like terms: -6y + 6y = 0
-56 + 14y = -28 + 0
-56 + 14y = -28

Add '56' to each side of the equation.
-56 + 56 + 14y = -28 + 56

Combine like terms: -56 + 56 = 0
0 + 14y = -28 + 56
14y = -28 + 56

Combine like terms: -28 + 56 = 28
14y = 28

Divide each side by '14'.
y = 2

Simplifying
y = 2

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