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Simplifying 5y + -8 = -3(y + 8) Reorder the terms: -8 + 5y = -3(y + 8) Reorder the terms: -8 + 5y = -3(8 + y) -8 + 5y = (8 * -3 + y * -3) -8 + 5y = (-24 + -3y) Solving -8 + 5y = -24 + -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. -8 + 5y + 3y = -24 + -3y + 3y Combine like terms: 5y + 3y = 8y -8 + 8y = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 8y = -24 + 0 -8 + 8y = -24 Add '8' to each side of the equation. -8 + 8 + 8y = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = -24 + 8 8y = -24 + 8 Combine like terms: -24 + 8 = -16 8y = -16 Divide each side by '8'. y = -2 Simplifying y = -2
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