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Simplifying -8(y + 3) = 5 + -7y Reorder the terms: -8(3 + y) = 5 + -7y (3 * -8 + y * -8) = 5 + -7y (-24 + -8y) = 5 + -7y Solving -24 + -8y = 5 + -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 + -8y + 7y = 5 + -7y + 7y Combine like terms: -8y + 7y = -1y -24 + -1y = 5 + -7y + 7y Combine like terms: -7y + 7y = 0 -24 + -1y = 5 + 0 -24 + -1y = 5 Add '24' to each side of the equation. -24 + 24 + -1y = 5 + 24 Combine like terms: -24 + 24 = 0 0 + -1y = 5 + 24 -1y = 5 + 24 Combine like terms: 5 + 24 = 29 -1y = 29 Divide each side by '-1'. y = -29 Simplifying y = -29
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