-3y-8=-8(y+6)

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Solution for -3y-8=-8(y+6) equation:


Simplifying
-3y + -8 = -8(y + 6)

Reorder the terms:
-8 + -3y = -8(y + 6)

Reorder the terms:
-8 + -3y = -8(6 + y)
-8 + -3y = (6 * -8 + y * -8)
-8 + -3y = (-48 + -8y)

Solving
-8 + -3y = -48 + -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.
-8 + -3y + 8y = -48 + -8y + 8y

Combine like terms: -3y + 8y = 5y
-8 + 5y = -48 + -8y + 8y

Combine like terms: -8y + 8y = 0
-8 + 5y = -48 + 0
-8 + 5y = -48

Add '8' to each side of the equation.
-8 + 8 + 5y = -48 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = -48 + 8
5y = -48 + 8

Combine like terms: -48 + 8 = -40
5y = -40

Divide each side by '5'.
y = -8

Simplifying
y = -8

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