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Simplifying -8(y + 2) = 7 + -7y Reorder the terms: -8(2 + y) = 7 + -7y (2 * -8 + y * -8) = 7 + -7y (-16 + -8y) = 7 + -7y Solving -16 + -8y = 7 + -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. -16 + -8y + 7y = 7 + -7y + 7y Combine like terms: -8y + 7y = -1y -16 + -1y = 7 + -7y + 7y Combine like terms: -7y + 7y = 0 -16 + -1y = 7 + 0 -16 + -1y = 7 Add '16' to each side of the equation. -16 + 16 + -1y = 7 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = 7 + 16 -1y = 7 + 16 Combine like terms: 7 + 16 = 23 -1y = 23 Divide each side by '-1'. y = -23 Simplifying y = -23
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