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Simplifying 3(y + -8) = -7(8 + y) Reorder the terms: 3(-8 + y) = -7(8 + y) (-8 * 3 + y * 3) = -7(8 + y) (-24 + 3y) = -7(8 + y) -24 + 3y = (8 * -7 + y * -7) -24 + 3y = (-56 + -7y) Solving -24 + 3y = -56 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -24 + 3y + 7y = -56 + -7y + 7y Combine like terms: 3y + 7y = 10y -24 + 10y = -56 + -7y + 7y Combine like terms: -7y + 7y = 0 -24 + 10y = -56 + 0 -24 + 10y = -56 Add '24' to each side of the equation. -24 + 24 + 10y = -56 + 24 Combine like terms: -24 + 24 = 0 0 + 10y = -56 + 24 10y = -56 + 24 Combine like terms: -56 + 24 = -32 10y = -32 Divide each side by '10'. y = -3.2 Simplifying y = -3.2
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