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Simplifying -8(y + 2) = 7y + 29 Reorder the terms: -8(2 + y) = 7y + 29 (2 * -8 + y * -8) = 7y + 29 (-16 + -8y) = 7y + 29 Reorder the terms: -16 + -8y = 29 + 7y Solving -16 + -8y = 29 + 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 = 29 + 7y + -7y Combine like terms: -8y + -7y = -15y -16 + -15y = 29 + 7y + -7y Combine like terms: 7y + -7y = 0 -16 + -15y = 29 + 0 -16 + -15y = 29 Add '16' to each side of the equation. -16 + 16 + -15y = 29 + 16 Combine like terms: -16 + 16 = 0 0 + -15y = 29 + 16 -15y = 29 + 16 Combine like terms: 29 + 16 = 45 -15y = 45 Divide each side by '-15'. y = -3 Simplifying y = -3
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