8y-3(y+4)=-28-3y

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Solution for 8y-3(y+4)=-28-3y equation:


Simplifying
8y + -3(y + 4) = -28 + -3y

Reorder the terms:
8y + -3(4 + y) = -28 + -3y
8y + (4 * -3 + y * -3) = -28 + -3y
8y + (-12 + -3y) = -28 + -3y

Reorder the terms:
-12 + 8y + -3y = -28 + -3y

Combine like terms: 8y + -3y = 5y
-12 + 5y = -28 + -3y

Solving
-12 + 5y = -28 + -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.
-12 + 5y + 3y = -28 + -3y + 3y

Combine like terms: 5y + 3y = 8y
-12 + 8y = -28 + -3y + 3y

Combine like terms: -3y + 3y = 0
-12 + 8y = -28 + 0
-12 + 8y = -28

Add '12' to each side of the equation.
-12 + 12 + 8y = -28 + 12

Combine like terms: -12 + 12 = 0
0 + 8y = -28 + 12
8y = -28 + 12

Combine like terms: -28 + 12 = -16
8y = -16

Divide each side by '8'.
y = -2

Simplifying
y = -2

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